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​​Ratio: Quiz 10
Part 1
1) The ratio of boys to girls at a scout group is 5 : 4
 
6 more boys join the group and the ratio of boys to girls becomes 3 : 2
 
a) How many girls are in the scout group?
b) How many boys were in the scout group before the 6 boys joined?
c) How many boys are in the scout group after the 6 boys joined?
 
 
2) David has a bag that contains blue and green balls. The ratio of blue balls to green balls is 2 : 1
 
David adds 8 green balls to the bag and the ratio of blue balls to green balls becomes 4 : 3
 
a) How many blue balls are in the bag?
b) How many green balls were in the bag before the 8 green balls were added?
c) How many green balls are in the bag after the 8 green balls were added?
 
 
3) A chocolate box contains white and milk chocolates. The ratio of white chocolates to milk chocolates is 4 : 3
 
I then eat 6 white chocolates and the ratio of white chocolates to milk chocolates becomes 10 : 9.
 
Before I ate any chocolates, how many chocolates were in the box.

Part 2
​1) a and b are two numbers such that a > b
 
When you add 5 to a and add 5 to b, the answers are in the ratio 2 : 1
When you subtract 10 from a and subtract 10 from b, the answers are in the ratio 5 : 1
 
Find the ratio a : b
Give your answer in its simplest form.
 
 
2) c and d are two numbers such that c > d
 
When you subtract 20 from c and subtract 20 from d, the answers are in the ratio 3 : 1
When you add 20 to c and add 20 to d, the answers are in the ratio 5 : 3
 
Find the ratio c : d
Give your answer in its simplest form.
 
 
3) e and f are two numbers such that f > e
 
When you subtract 10 from e and subtract 10 from f, the answers are in the ratio 2 : 3
When you add 10 to e and add 10 to f, the answers are in the ratio 4 : 5
 
Find the ratio e : f
Give your answer in its simplest form.
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