15 of the flowers in a flower shop were sunflowers,
14 of them were carnations and the remaining 99 stalks were peonies.
- How many stalks of flowers were there in the shop?
- At the end of the day, the number of flowers left was 20 less than the number of flowers sold. How many stalks of flowers were sold?
(a)
Fraction of stalks of flowers that were peonies
= 1 -
15 -
14 = 1 -
420 -
520 = 1 -
920 =
1120 11 u = 99
1 u = 99 ÷ 11 = 9
Number of stalks of flowers in the shop
= 20 u
= 20 x 9
= 180
(b)
Number of stalks of flowers sold = 1 p + 20
Number of stalks of flowers left = 1 p
Total number of stalks of flowers
= 1 p + 1 p + 20
= 2 p + 20
2 p + 20 = 180
2 p = 180 - 20
2 p = 160
1 p = 160 ÷ 2 = 80
Number of stalks of flowers sold
= 1 p + 20
= 80 + 20
= 100
Answer(s): (a) 180; (b) 100