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 red stickers.
He has 70 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 + 30
Number of red and green stickers
= 1 u + 1 u + 30
= 2 u + 30
Number of blue stickers
= 2 u + 30 + 70
= 2 u + 100
Number of more blue stickers than red stickers
= (2 u + 100) - 1 u
= 2 u - 1 u + 100
= 1 u + 100
(b)
Number of less green stickers than blue stickers
= (2 u + 100) - (1 u + 30)
= 2 u + 100 - 1 u - 30
= 2 u - 1 u + 100 - 30
= 1 u + 70
(c)
Number of green and blue stickers
= 1 u + 30 + 2 u + 100
= 1 u + 2 u + 30 + 100
= 3 u + 130
Answer(s): (a) 1u + 100 ; (b) 1u + 70; (c) 3u + 130