Olivia bought 6 washing machines and 8 muffin makers. Each washing machine costs $363 more than each muffin maker. She spent 10% of her money on the muffin makers.
- How much did each washing machine cost?
- How much did she spend altogether?
|
Washing machines |
Muffin makers |
Total |
Number |
6 |
8 |
|
Value |
1 u + $363 |
1 u |
|
Total value |
6 u + $2178 |
8 u |
|
Comparing amounts spent on washing machines and muffin makers |
90%
|
10% |
100% |
(a)
Amount that Olivia spent on the washing machines
= 6(1 u + 363)
= 6 u + 2178
Amount that Olivia spent on the muffin makers
= 8 x 1 u
= 8 u
Amount that Olivia spent on the washing machines in percent
= 100% - 10%
= 90%
10% → 8 u
90% → 9 x 8 u = 72 u
72 u = 6 u + 2178
72 u - 6 u = 2178
66 u = 2178
1 u = 2178 ÷ 66 = 33
Cost of each washing machine
= 33 + 363
= $396
(b)
100% → 8 u + 72 u = 80 u
Amount that Olivia spent altogether
= 80 u
= 80 x 33
= $2640
Answer(s): (a) $396; (b) $2640