There are 61 purple and white stickers in Box U. There are 47 purple and yellow stickers in Box V. The number of white stickers in Box U is three times the number of yellow stickers in Box V. The number of purple stickers in both boxes is the same.
- How many yellow stickers are there in Box V?
- Find the total number of purple stickers in both boxes.
(a)
Number of white stickers = 3 u
Number of yellow stickers = 1 u
Purple stickers + 3 u = 61 --- (1)
Purple stickers + 1 u = 47 --- (2)
(1) - (2)
3 u - 1 u = 61 - 47
2 u = 14
1 u = 14 ÷ 2 = 7
Number of yellow stickers
= 1 u
= 7
(b)
Number of purple stickers in Box V
= 47 - 7
= 40
Number of purple stickers in both boxes
= 2 x 40
= 80
Answer(s): (a) 7; (b) 80