There are 84 purple and white buttons in Box J. There are 40 purple and brown buttons in Box K. The number of white buttons in Box J is five times the number of brown buttons in Box K. The number of purple buttons in both boxes is the same.
- How many brown buttons are there in Box K?
- Find the total number of purple buttons in both boxes.
(a)
Number of white buttons = 5 u
Number of brown buttons = 1 u
Purple buttons + 5 u = 84 --- (1)
Purple buttons + 1 u = 40 --- (2)
(1) - (2)
5 u - 1 u = 84 - 40
4 u = 44
1 u = 44 ÷ 4 = 11
Number of brown buttons
= 1 u
= 11
(b)
Number of purple buttons in Box K
= 40 - 11
= 29
Number of purple buttons in both boxes
= 2 x 29
= 58
Answer(s): (a) 11; (b) 58