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 20 more green stickers than red stickers.
He has 40 more 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 green and blue stickers are there?
(a)
Choose the smallest group to be 1 u.
Number of red stickers = 1 u
Number of green stickers = 1 u + 20
Number of red and green stickers
= 1 u + 1 u + 20
= 2 u + 20
Number of blue stickers
= 2 u + 20 + 40
= 2 u + 60
Number of more blue stickers than red stickers
= (2 u + 60) - 1 u
= 2 u - 1 u + 60
= 1 u + 60
(b)
Number of less green stickers than blue stickers
= (2 u + 60) - (1 u + 20)
= 2 u + 60 - 1 u - 20
= 2 u - 1 u + 60 - 20
= 1 u + 40
(c)
Number of green and blue stickers
= 1 u + 20 + 2 u + 60
= 1 u + 2 u + 20 + 60
= 3 u + 80
Answer(s): (a) 1u + 60 ; (b) 1u + 40; (c) 3u + 80