There are 88 purple and white buttons in Box R. There are 56 purple and green buttons in Box S. The number of white buttons in Box R is five times the number of green buttons in Box S. The number of purple buttons in both boxes is the same.
- How many green buttons are there in Box S?
- Find the total number of purple buttons in both boxes.
(a)
Number of white buttons = 5 u
Number of green buttons = 1 u
Purple buttons + 5 u = 88 --- (1)
Purple buttons + 1 u = 56 --- (2)
(1) - (2)
5 u - 1 u = 88 - 56
4 u = 32
1 u = 32 ÷ 4 = 8
Number of green buttons
= 1 u
= 8
(b)
Number of purple buttons in Box S
= 56 - 8
= 48
Number of purple buttons in both boxes
= 2 x 48
= 96
Answer(s): (a) 8; (b) 96