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 10 less green stickers than red stickers.
He has 150 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 + 10
Number of red and green stickers
= 1 u + 1 u + 10
= 2 u + 10
Number of blue stickers
= 2 u + 10 - 150
= 2 u - 140
Number of more blue stickers than red stickers
= (2 u - 140) - (1 u + 10)
= 2 u - 140 - 1 u - 10
= 2 u - 1 u - 140 - 10
= 1 u - 150
(b)
Number of less green stickers than blue stickers
= (2 u - 140) - 1 u
= 2 u - 140 - 1 u
= 2 u - 1 u - 140
= 1 u - 140
(c)
Number of red and blue stickers
= (1 u + 10) + (2 u - 140)
= 1 u + 2 u + 10 - 140
= 3 u - 130
Answer(s): (a) 1 u - 150; (b) 1 u - 140; (c) 3 u - 130