The Student Room Group

Need help on maths foundation question Gcse

Question:

A bag contains 35 balls.
Each ball is either red or green.
The ratio of red balls to green balls is 3:2.

Work out the smallest number of balls of each colour that have to be added to the bag so that the ratio of red balls to green balls becomes 7:3.

Could someone please explain how you got the answer and the process? Thank you.
Reply 1
Original post by unknown28282
Question:

A bag contains 35 balls.
Each ball is either red or green.
The ratio of red balls to green balls is 3:2.

Work out the smallest number of balls of each colour that have to be added to the bag so that the ratio of red balls to green balls becomes 7:3.

Could someone please explain how you got the answer and the process? Thank you.


Read the rules and stop posting questions with no attempt
Reply 2
Original post by Muttley79
Read the rules and stop posting questions with no attempt

These are my mock questions which i have attempted, however I seem to have made a mistake somewhere, thus I want to figure out where I went wrong.
Reply 3
Original post by unknown28282
These are my mock questions which i have attempted, however I seem to have made a mistake somewhere, thus I want to figure out where I went wrong.


Post what you did and then we'll help
Reply 4
R:G
3:2

LCM of 3 and 2 is 6 so

Number of red balls added to the bag = 6
Number of green balls added to the bag = 6
Reply 5
Original post by unknown28282
R:G
3:2

LCM of 3 and 2 is 6 so

Number of red balls added to the bag = 6
Number of green balls added to the bag = 6

35 balls originally so how many of each colour ... start from that
(edited 11 months ago)
Original post by unknown28282
Question:

A bag contains 35 balls.
Each ball is either red or green.
The ratio of red balls to green balls is 3:2.

Work out the smallest number of balls of each colour that have to be added to the bag so that the ratio of red balls to green balls becomes 7:3.

Could someone please explain how you got the answer and the process? Thank you.


The first step is to work out the number of balls in each colour.
Hint: You could think of 3:2 as 3/5 of total: 2/5 of total in this instance.

The second step is to think of different scenarios where the ratio of red to green balls would be 7:3
For example, 7:3
Or 14:6
Or 21:9

I'll leave the rest to you.

Quick Reply

Latest