The ratio of the number of macarons to the number of biscuits in a stall is 6 : 1. A macaron costs $1.90 and a biscuit costs $0.30. If all the macarons and biscuits are sold, a sum of $468 will be collected. How many macarons are there altogether?
|
Macarons |
Biscuits |
Total |
Number |
6 u |
1 u |
|
Value |
$1.90 |
$0.30 |
|
Total value |
11.4 u |
0.3 u |
$468 |
Amount collected if all the macarons are sold
= 6 u x 1.9
= 11.4 u
Amount collected if all the biscuits are sold
= 1 u x 0.3 u
= 0.3 u
Amount collected if all the macarons and biscuits are sold
= 11.4 u + 0.3 u
= 11.7 u
11.7 u = 468
1 u = 468 ÷ 11.7 = 40
Total number of macarons
= 6 u
= 6 x 40
= 240
Answer(s): 240