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 20 more blue stickers than red stickers.
He has 100 more 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 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 + 20
Number of red and blue stickers
= 1 u + 1 u + 20
= 2 u + 20
Number of green stickers
= 2 u + 20 + 100
= 2 u + 120
Number of more green stickers than red stickers
= (2 u + 120) - 1 u
= 2 u - 1 u + 120
= 1 u + 120
(b)
Number of less blue stickers than green stickers
= (2 u + 120) - (1 u + 20)
= 2 u + 120 - 1 u - 20
= 2 u - 1 u + 120 - 20
= 1 u + 100
(c)
Number of blue and green stickers
= 1 u + 20 + 2 u + 120
= 1 u + 2 u + 20 + 120
= 3 u + 140
Answer(s): (a) 1u + 120 ; (b) 1u + 100; (c) 3u + 140