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 green stickers.
He has 80 less red stickers than
the sum of the number of blue and green stickers.
- How many more red stickers than green stickers are there?
- How many less blue stickers than red stickers are there?
- How many green and red stickers are there?
(a)
Choose the smallest group to be 1 u.
Number of blue stickers = 1 u
Number of green stickers = 1 u + 30
Number of green and blue stickers
= 1 u + 1 u + 30
= 2 u + 30
Number of red stickers
= 2 u + 30 - 80
= 2 u - 50
Number of more red stickers than green stickers
= (2 u - 50) - (1 u + 30)
= 2 u - 50 - 1 u - 30
= 2 u - 1 u - 50 - 30
= 1 u - 80
(b)
Number of less blue stickers than red stickers
= (2 u - 50) - 1 u
= 2 u - 50 - 1 u
= 2 u - 1 u - 50
= 1 u - 50
(c)
Number of green and red stickers
= (1 u + 30) + (2 u - 50)
= 1 u + 2 u + 30 - 50
= 3 u - 20
Answer(s): (a) 1 u - 80; (b) 1 u - 50; (c) 3 u - 20