There are 87 purple and brown buttons in Box K. There are 55 purple and pink buttons in Box L. The number of brown buttons in Box K is five times the number of pink buttons in Box L. The number of purple buttons in both boxes is the same.
- How many pink buttons are there in Box L?
- Find the total number of purple buttons in both boxes.
(a)
Number of brown buttons = 5 u
Number of pink buttons = 1 u
Purple buttons + 5 u = 87 --- (1)
Purple buttons + 1 u = 55 --- (2)
(1) - (2)
5 u - 1 u = 87 - 55
4 u = 32
1 u = 32 ÷ 4 = 8
Number of pink buttons
= 1 u
= 8
(b)
Number of purple buttons in Box L
= 55 - 8
= 47
Number of purple buttons in both boxes
= 2 x 47
= 94
Answer(s): (a) 8; (b) 94