Fill in the blanks.
For (a) to (c), give the answers in units (Eg 1 u) or unit equations (Eg 1 u + 2).
Adam has some stickers.
He has 30 more green stickers than blue stickers.
He has 90 more red stickers than
the sum of the number of green and blue stickers.
- How many more red stickers than blue stickers are there?
- How many less green stickers than red stickers are there?
- How many green and red stickers are there?
(a)
Choose the smallest group to be 1 u.
Number of blue stickers = 1 u
Number of green stickers = 1 u + 30
Number of blue and green stickers
= 1 u + 1 u + 30
= 2 u + 30
Number of red stickers
= 2 u + 30 + 90
= 2 u + 120
Number of more red stickers than blue stickers
= (2 u + 120) - 1 u
= 2 u - 1 u + 120
= 1 u + 120
(b)
Number of less green stickers than red stickers
= (2 u + 120) - (1 u + 30)
= 2 u + 120 - 1 u - 30
= 2 u - 1 u + 120 - 30
= 1 u + 90
(c)
Number of green and red stickers
= 1 u + 30 + 2 u + 120
= 1 u + 2 u + 30 + 120
= 3 u + 150
Answer(s): (a) 1u + 120 ; (b) 1u + 90; (c) 3u + 150