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 less green stickers than red stickers.
He has 100 less blue stickers than
the sum of the number of green and red stickers.
- How many more blue stickers than red stickers are there?
- How many less green stickers than blue stickers are there?
- How many red and blue stickers are there?
(a)
Choose the smallest group to be 1 u.
Number of green stickers = 1 u
Number of red stickers = 1 u + 30
Number of red and green stickers
= 1 u + 1 u + 30
= 2 u + 30
Number of blue stickers
= 2 u + 30 - 100
= 2 u - 70
Number of more blue stickers than red stickers
= (2 u - 70) - (1 u + 30)
= 2 u - 70 - 1 u - 30
= 2 u - 1 u - 70 - 30
= 1 u - 100
(b)
Number of less green stickers than blue stickers
= (2 u - 70) - 1 u
= 2 u - 70 - 1 u
= 2 u - 1 u - 70
= 1 u - 70
(c)
Number of red and blue stickers
= (1 u + 30) + (2 u - 70)
= 1 u + 2 u + 30 - 70
= 3 u - 40
Answer(s): (a) 1 u - 100; (b) 1 u - 70; (c) 3 u - 40