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 10 more green stickers than blue stickers.
He has 60 less red stickers than
the sum of the number of green stickers and blue stickers.
- How many more red stickers than blue stickers are there?
- How many less red stickers than green 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 + 10
Number of blue and green stickers
= 1 u + 1 u + 10
= 2 u + 10
Number of red stickers
= 2 u + 10 - 60
= 2 u - 50
Number of red stickers more than blue stickers
= (2 u - 50) - 1 u
= 2 u - 1 u - 50
= 1 u - 50
(b)
Number of red less than green stickers
= (1 u + 10) - (2 u - 50)
= 1 u + 10 - 2 u + 50
= 10 + 50 + 1 u - 2 u
= 60 - 1 u
(c)
Number of green and red stickers
= 1 u + 10 + 2 u - 50
= 1 u + 2 u + 10 - 50
= 3 u - 40
Answer(s): (a) 1 u - 50; (b) 60 - 1 u; (c) 3 u - 40