The ratio of the number of macarons to the number of biscuits in a shop is 4 : 1. A macaron costs $1.60 and a biscuit costs $0.90. If all the macarons and biscuits are sold, a sum of $219 will be collected. How many macarons are there altogether?
|
Macarons |
Biscuits |
Total |
Number |
4 u |
1 u |
|
Value |
$1.60 |
$0.90 |
|
Total value |
6.4 u |
0.9 u |
$219 |
Amount collected if all the macarons are sold
= 4 u x 1.6
= 6.4 u
Amount collected if all the biscuits are sold
= 1 u x 0.9 u
= 0.9 u
Amount collected if all the macarons and biscuits are sold
= 6.4 u + 0.9 u
= 7.3 u
7.3 u = 219
1 u = 219 ÷ 7.3 = 30
Total number of macarons
= 4 u
= 4 x 30
= 120
Answer(s): 120