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 blue stickers than red stickers.
He has 150 less green stickers than
the sum of the number of blue and red stickers.
- How many more green stickers than red stickers are there?
- How many less blue stickers than green stickers are there?
- How many red and green stickers are there?
(a)
Choose the smallest group to be 1 u.
Number of blue stickers = 1 u
Number of red stickers = 1 u + 30
Number of red and blue stickers
= 1 u + 1 u + 30
= 2 u + 30
Number of green stickers
= 2 u + 30 - 150
= 2 u - 120
Number of more green stickers than red stickers
= (2 u - 120) - (1 u + 30)
= 2 u - 120 - 1 u - 30
= 2 u - 1 u - 120 - 30
= 1 u - 150
(b)
Number of less blue stickers than green stickers
= (2 u - 120) - 1 u
= 2 u - 120 - 1 u
= 2 u - 1 u - 120
= 1 u - 120
(c)
Number of red and green stickers
= (1 u + 30) + (2 u - 120)
= 1 u + 2 u + 30 - 120
= 3 u - 90
Answer(s): (a) 1 u - 150; (b) 1 u - 120; (c) 3 u - 90