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 40 more blue stickers than green stickers.
He has 100 more 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 blue and red stickers are there?
(a)
Choose the smallest group to be 1 u.
Number of green stickers = 1 u
Number of blue stickers = 1 u + 40
Number of green and blue stickers
= 1 u + 1 u + 40
= 2 u + 40
Number of red stickers
= 2 u + 40 + 100
= 2 u + 140
Number of more red stickers than green stickers
= (2 u + 140) - 1 u
= 2 u - 1 u + 140
= 1 u + 140
(b)
Number of less blue stickers than red stickers
= (2 u + 140) - (1 u + 40)
= 2 u + 140 - 1 u - 40
= 2 u - 1 u + 140 - 40
= 1 u + 100
(c)
Number of blue and red stickers
= 1 u + 40 + 2 u + 140
= 1 u + 2 u + 40 + 140
= 3 u + 180
Answer(s): (a) 1u + 140 ; (b) 1u + 100; (c) 3u + 180