Yoko bought 4 dishwashers and 10 sandwich makers. Each dishwasher costs $459 more than each sandwich maker. She spent 20% of her money on the sandwich makers.
- How much did each dishwasher cost?
- How much did she spend altogether?
| |
Dishwashers |
Sandwich makers |
Total |
| Number |
4 |
10 |
|
| Value |
1 u + $459 |
1 u |
|
| Total value |
4 u + $1836 |
10 u |
|
Comparing amounts
spent on dishwashers
and sandwich makers |
80%
|
20% |
100% |
(a)
Amount that Yoko spent on the dishwashers
= 4(1 u + 459)
= 4 u + 1836
Amount that Yoko spent on the sandwich makers
= 10 x 1 u
= 10 u
Amount that Yoko spent on the dishwashers in percent
= 100% - 20%
= 80%
20% → 10 u
80% → 4 x 10 u = 40 u
40 u = 4 u + 1836
40 u - 4 u = 1836
36 u = 1836
1 u = 1836 ÷ 36 = 51
Cost of each dishwasher
= 51 + 459
= $510
(b)
100% → 10 u + 40 u = 50 u
Amount that Yoko spent altogether
= 50 u
= 50 x 51
= $2550
Answer(s): (a) $510; (b) $2550
