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 red stickers than blue stickers.
He has 90 less green stickers than
the sum of the number of red and blue stickers.
- How many more green stickers than blue stickers are there?
- How many less red stickers than green stickers are there?
- How many blue and green stickers are there?
(a)
Choose the smallest group to be 1 u.
Number of red stickers = 1 u
Number of blue stickers = 1 u + 30
Number of blue and red stickers
= 1 u + 1 u + 30
= 2 u + 30
Number of green stickers
= 2 u + 30 - 90
= 2 u - 60
Number of more green stickers than blue stickers
= (2 u - 60) - (1 u + 30)
= 2 u - 60 - 1 u - 30
= 2 u - 1 u - 60 - 30
= 1 u - 90
(b)
Number of less red stickers than green stickers
= (2 u - 60) - 1 u
= 2 u - 60 - 1 u
= 2 u - 1 u - 60
= 1 u - 60
(c)
Number of blue and green stickers
= (1 u + 30) + (2 u - 60)
= 1 u + 2 u + 30 - 60
= 3 u - 30
Answer(s): (a) 1 u - 90; (b) 1 u - 60; (c) 3 u - 30