Question

Three boxes contain counters There are 63 counters in total The total number of counters in box A and box B is 36. The difference between the number of counters in box A and box C is 10 Work out the number of counters in each box

Answer 1

First step is to solve for x: 

There is a total of 75 counters in the three boxes: 
Counters in box A + counters in box B + counters in box C = 75 
x + (2x+7) + (3x−4) = 75 
6x + 3 = 75 
6x = 72 
x = 12 

Next we calculate the number of counters in box B 
= 2x+7 
= 24+7 
= 31 

Box B has 31 counters