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Percents

In a batch of eggs, 3% were broken. There were 18 broken eggs. How many eggs were there in the batch?

Answers
Try to work out what 1% would be and then multiply by 100 to get your answer! In this case 18 divided by 3 makes 1% = 6. Now multiply 6 by a hundred! 
Dave W.
25 February 2016
let initially batch contain 100 egg. then 3% break i.e 3% of 100 =3if 3 egg broken then total egg=1001 egg broken then total egg=100/3if 18 egg broken then total egg= 100/3*18=600 egg.
pankaj_sharma
25 February 2016
This problem means :3% (3 out of 100) eggs are broken and that represents 18 eggs out of the total number of eggs (unknown).Therefore mathematically 3/100 = 18/?Applying knowledge in equivalent fractions3 changes to 18 by multiplying it by 6 so....                                                  100 changes in the same way(multiplying by 6) ____100x6=600In conclusion total of eggs represented by 100% is 600 in number. 
Bridget O.
25 February 2016
If 18 =  3%, then 6 = 1% (18/3). (We need to workout what 1% is in order to work out 100%).6x100 = 600. (This  = 100%). So there were 600 eggs in the basket to begin with.
Charlotte H.
25 February 2016
x - 100%1% - 6 eggs6*100=600Answer: 600 eggs
Adelie G.
25 February 2016
From the question, we know that 3% equals 18 broken eggs. Now we have to find out the 1% of the batch. I know that 1% of the batch is 6 eggs (18 divided by 3 is 6 and 6 is the 1%). If we times 6 by 100, we know that the batch has 600 eggs in it altogether.
Charlotte J.
25 February 2016
All these questions involving percentages, can be solved using a very simple rule with the same format.1.Set up two equations, percentages on one side and the other object in the other (in this case eggs)3%=18 eggs100%= x eggs2. We perform cross multiplication, and divide by what's left to obtain x(100x18)/3= 600 eggs in the batch
Jesus A.
29 February 2016
We know that 3% = 18 eggs Find what 1% is first = 18 divide by 3 = 61% = 6 therefore, 100% ( the whole amount) is 6 x 100 = 600 altogether in the batch. 
Andriana T.
01 March 2016
So the 3% is 18 eggs. Easiest step is too find 1%, divide the 3% by three 18 divided by 3 = 6So 1% is 6. Now find 10% so times 6 by 10 = 60So 10% is 60. Now to find out how many were in the batch times the 10% by 10 again, which will the equal 600 eggs.
liam_collins
02 March 2016
3% is the same as saying 3/100. 3/100 (i.e. "3 divided by 100") = 0.03To find 3% of a number, you multiply that number by 0.03Let's call the original number of eggs "n". We know that 3% of the number n = 18. We can write this as follows...0.03 x n = 18or as0.03n = 18To find out what "n" is, we can move the 0.03 across to the other side, but this time we have to divide instead of multiply. Son = 18/0.0318 divided by 0.03 = 600. So there were 600 eggs to begin with.
Jason F.
03 March 2016
First (and easiest) step is to find 1%. We know 3%= 18 eggs, so to find 1% we do 18 divided by 3= 6So 1%=6 eggs, therefore 100%= 6x100.The answer is 600 eggs in the batch
Amy W.
03 March 2016
18 divided by 3% = 6, so 1% is 6 eggswhole batch or 100% = 6 x 100 = 600 eggs
svetlapopova
06 March 2016
Let there were  a eggs 3% of y =3 divided by 100 x a             = 3/100 x a     ------(1)if 3% equals to 18 then (1) becomes18= 3/100 x a 1800=3aa= 1800/3a=600So there were 600 eggs in the batch.
syedbahi
17 March 2016
18 eggs is 3%. 18/3 = 6 = 1%. If 1% is 6, 100% is 600 (100*6)There were thus 600 eggs in the batch.
Rob O.
28 March 2016
To find out 1% we would do 18/3 = 6. To find 100% we do 6*100 = 600. This is because 1*100 gives us 100% Therefore we have 600 eggs in the batch.
caroline96
08 April 2016
18/3 x 100 = 600(100% of the eggs)or simplify that and just do 18/0.03 = 600(100% of the eggs)
Jake B.
28 April 2016
18 eggs = 3% of the total eggs. To find 1% we divide by 3.18/3 =6, so 1% of the total eggs = 6 eggs. To find the total number of eggs (100%) we multiply 6 by 100. 6*100 = 600. So the total number of eggs in the batch was 600. When working with percentages it is always useful and easier if we know what 1% of your total is. Best wishes,Ryan. 
Ryan M.
14 June 2016
Hi!We were told 18 eggs were broken, and also that this is 3% of the number of eggs.We can start by finding what one percent would be: If 3% is 18 eggs, 1% will be 6 eggs - (As 3% divided by 3 is 1%, you would then divide the 18 eggs by 3, which gives 6 eggs)We now know 1% of the broken eggs is 6 eggs. We want to find the number of eggs in the whole batch, which is 100%. We therefore multiply the 6 eggs by 100 to give 600 eggs broken in total.Hope this helps!
Sandra S.
28 November 2016
Let total number of eggs be x.So, 3% of x were broken and there were 18 broken eggs.We can write this as: 0.03*x =18x=18/0.03x= 600 eggs (answer).
moushitamahmud
01 April 2017
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Similar questions

How to Find 1 Percent of a Number

Introduction

Have you ever seen a 5% discount in a shop or needed to calculate a 15% tip? All percentage calculations, no matter how complex, are built on one simple, core skill: finding 1 percent.

The word "percent" literally means "per hundred." So, 1% is simply one part out of one hundred.

Once you know how to find 1% of a number, you can easily find any other percentage.

  • To find 5%, you just find 1% and multiply it by 5.
  • To find 20%, you find 1% and multiply it by 20.
  • To find 72%, you find 1% and multiply it by 72.

This guide will show you the one simple trick to find 1% of any number instantly.

The Key Method: Finding 1%

Because 1% means "one out of one hundred" (£1/100£), finding 1% of a number is the same as dividing that number by 100.

The fastest way to divide any number by 100 is to move the decimal point two places to the left.

That's the entire trick.

Worked Example 1: A simple number

Find 1% of 300.

  • The number is 300. The decimal point is at the end: 300.
  • Move the decimal two places to the left: 3.00
  • Answer: 1% of 300 is 3.

Worked Example 2: A number with no zeros

Find 1% of 189.

  • The number is 189. The decimal point is at the end: 189.
  • Move the decimal two places to the left: 1.89
  • Answer: 1% of 189 is 1.89.

Worked Example 3: A number that already has a decimal

Find 1% of 84.5.

  • The number is 84.5.
  • Move the decimal two places to the left: 0.845
  • Answer: 1% of 84.5 is 0.845.

Worked Example 4: A very small decimal number

Find 1% of 0.7.

  • The number is 0.7.
  • Move the decimal two places to the left. We need to add zeros for the empty spaces: 0.007
  • Answer: 1% of 0.7 is 0.007.

Practice Questions & Solutions

1

Find 1% of 500.

Solution

To find 1% of 500, we move the decimal point two places to the left.

500. becomes 5.00

Answer: 5

2

Find 1% of 900.

Solution

To find 1% of 900, we move the decimal point two places to the left.

900. becomes 9.00

Answer: 9

3

Find 1% of 250.

Solution

o find 1% of 250, we move the decimal point two places to the left.

250. becomes 2.50

Answer: 2.5

4

Find 1% of 476.

Solution

To find 1% of 476, we move the decimal point two places to the left.

476. becomes 4.76

Answer: 4.76

5

Find 1% of 81.

Solution

To find 1% of 81, we move the decimal point two places to the left.

81. becomes 0.81

Answer: 0.81

6

A t-shirt costs £40. How much is 1% of its price?

Solution

To find 1% of £40, we move the decimal point two places to the left.

40. becomes 0.40

Answer: £0.40 (or 40p)

7

Find 1% of 15,200.

Solution

To find 1% of 15,200, we move the decimal point two places to the left.

15200. becomes 152.00

Answer: 152

8

Find 1% of 70.5.

Solution

To find 1% of 70.5, we move the decimal point two places to the left.

70.5 becomes 0.705

Answer: 0.705

9

Find 1% of 1.25.

Solution

To find 1% of 1.25, we move the decimal point two places to the left.

1.25 becomes 0.0125

Answer: 0.0125

10

A bank offers a 1% annual interest rate. If you deposit £5.50, how much interest would you earn in a year?

Solution

We need to find 1% of 5.50. We move the decimal point two places to the left.

5.50 becomes 0.0550

Answer: £0.055