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 50 more red stickers than blue stickers.
He has 70 more green stickers than
the sum of the number of red and blue stickers.
- How many more green stickers than blue stickers are there?
- How many less red 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 + 50
Number of blue and red stickers
= 1 u + 1 u + 50
= 2 u + 50
Number of green stickers
= 2 u + 50 + 70
= 2 u + 120
Number of more green stickers than blue stickers
= (2 u + 120) - 1 u
= 2 u - 1 u + 120
= 1 u + 120
(b)
Number of less red stickers than green stickers
= (2 u + 120) - (1 u + 50)
= 2 u + 120 - 1 u - 50
= 2 u - 1 u + 120 - 50
= 1 u + 70
(c)
Number of red and green stickers
= 1 u + 50 + 2 u + 120
= 1 u + 2 u + 50 + 120
= 3 u + 170
Answer(s): (a) 1u + 120 ; (b) 1u + 70; (c) 3u + 170