Tammy bought 3 dishwashers and 6 stand mixers. Each dishwasher costs $360 more than each stand mixer. She spent 25% of her money on the stand mixers.
- How much did each dishwasher cost?
- How much did she spend altogether?
| |
Dishwashers |
Stand mixers |
Total |
| Number |
3 |
6 |
|
| Value |
1 u + $360 |
1 u |
|
| Total value |
3 u + $1080 |
6 u |
|
Comparing amounts
spent on dishwashers
and stand mixers |
75%
|
25% |
100% |
(a)
Amount that Tammy spent on the dishwashers
= 3(1 u + 360)
= 3 u + 1080
Amount that Tammy spent on the stand mixers
= 6 x 1 u
= 6 u
Amount that Tammy spent on the dishwashers in percent
= 100% - 25%
= 75%
25% → 6 u
75% → 3 x 6 u = 18 u
18 u = 3 u + 1080
18 u - 3 u = 1080
15 u = 1080
1 u = 1080 ÷ 15 = 72
Cost of each dishwasher
= 72 + 360
= $432
(b)
100% → 6 u + 18 u = 24 u
Amount that Tammy spent altogether
= 24 u
= 24 x 72
= $1728
Answer(s): (a) $432; (b) $1728
