There are 79 yellow and pink buttons in Box U. There are 39 yellow and gold buttons in Box V. The number of pink buttons in Box U is five times the number of gold buttons in Box V. The number of yellow buttons in both boxes is the same.
- How many gold buttons are there in Box V?
- Find the total number of yellow buttons in both boxes.
(a)
Number of pink buttons = 5 u
Number of gold buttons = 1 u
Yellow buttons + 5 u = 79 --- (1)
Yellow buttons + 1 u = 39 --- (2)
(1) - (2)
5 u - 1 u = 79 - 39
4 u = 40
1 u = 40 ÷ 4 = 10
Number of gold buttons
= 1 u
= 10
(b)
Number of yellow buttons in Box V
= 39 - 10
= 29
Number of yellow buttons in both boxes
= 2 x 29
= 58
Answer(s): (a) 10; (b) 58