There are 89 yellow and black stickers in Box E. There are 57 yellow and grey stickers in Box F. The number of black stickers in Box E is five times the number of grey stickers in Box F. The number of yellow stickers in both boxes is the same.
- How many grey stickers are there in Box F?
- Find the total number of yellow stickers in both boxes.
(a)
Number of black stickers = 5 u
Number of grey stickers = 1 u
Yellow stickers + 5 u = 89 --- (1)
Yellow stickers + 1 u = 57 --- (2)
(1) - (2)
5 u - 1 u = 89 - 57
4 u = 32
1 u = 32 ÷ 4 = 8
Number of grey stickers
= 1 u
= 8
(b)
Number of yellow stickers in Box F
= 57 - 8
= 49
Number of yellow stickers in both boxes
= 2 x 49
= 98
Answer(s): (a) 8; (b) 98