Elyse bought 6 dishwashers and 7 speakers. Each dishwasher costs $462 more than each speaker. She spent 20% of her money on the speakers.
- How much did each dishwasher cost?
- How much did she spend altogether?
| |
Dishwashers |
Speakers |
Total |
| Number |
6 |
7 |
|
| Value |
1 u + $462 |
1 u |
|
| Total value |
6 u + $2772 |
7 u |
|
Comparing amounts
spent on dishwashers
and speakers |
80%
|
20% |
100% |
(a)
Amount that Elyse spent on the dishwashers
= 6(1 u + 462)
= 6 u + 2772
Amount that Elyse spent on the speakers
= 7 x 1 u
= 7 u
Amount that Elyse spent on the dishwashers in percent
= 100% - 20%
= 80%
20% → 7 u
80% → 4 x 7 u = 28 u
28 u = 6 u + 2772
28 u - 6 u = 2772
22 u = 2772
1 u = 2772 ÷ 22 = 126
Cost of each dishwasher
= 126 + 462
= $588
(b)
100% → 7 u + 28 u = 35 u
Amount that Elyse spent altogether
= 35 u
= 35 x 126
= $4410
Answer(s): (a) $588; (b) $4410
