There are 55 gold and pink stickers in Box S. There are 47 gold and blue stickers in Box T. The number of pink stickers in Box S is three times the number of blue stickers in Box T. The number of gold stickers in both boxes is the same.
- How many blue stickers are there in Box T?
- Find the total number of gold stickers in both boxes.
(a)
Number of pink stickers = 3 u
Number of blue stickers = 1 u
Gold stickers + 3 u = 55 --- (1)
Gold stickers + 1 u = 47 --- (2)
(1) - (2)
3 u - 1 u = 55 - 47
2 u = 8
1 u = 8 ÷ 2 = 4
Number of blue stickers
= 1 u
= 4
(b)
Number of gold stickers in Box T
= 47 - 4
= 43
Number of gold stickers in both boxes
= 2 x 43
= 86
Answer(s): (a) 4; (b) 86