The table shows the prices of macarons at two shops. The macarons are only sold in sets of 7 macarons in Gabby's Bakery or sets of 8 macarons in Xylia's Bakery.
Shop |
Price of macarons |
Gabby's Bakery |
7 for $6 |
Xylia's Bakery |
8 for $8 |
- Jean has $29.40. She wants to buy 40 macarons from Xylia's Bakery. How much more money does she need to buy the 40 macarons?
- Xavier has $99. He wants to buy the greatest possible number of macarons with his money from one of the two shops. What is the greatest possible number of macarons he can buy with his money?
(a)
Number of sets of 8 macarons
= 40 ÷ 8
= 5
Cost of 40 macarons
= 5 x 8
= $40
Amount that Jean needs more to buy the 40 macarons
= 40 - 29.40
= $10.60
(b)
Number of sets of 7 macarons that Xavier could buy at Gabby's Bakery
= 99 ÷ 6
= 16 r 3
Number of macarons that Xavier could buy at Gabby's Bakery
= 16 x 7
= 112
(More)Number of sets of 8 macarons that Xavier could buy at Xylia's Bakery
= 99 ÷ 8
= 12 r 3
Number of macarons that Xavier could buy at Xylia's Bakery
= 12 x 8
= 96
Greatest possible number of macarons that Xavier can buy with his money = 112
Answer(s): (a) $10.60; (b) 112