Min bought 2 dishwashers and 3 kettles. Each dishwasher costs $350 more than each kettle. She spent 25% of her money on the kettles.
- How much did each dishwasher cost?
- How much did she spend altogether?
| |
Dishwashers |
Kettles |
Total |
| Number |
2 |
3 |
|
| Value |
1 u + $350 |
1 u |
|
| Total value |
2 u + $700 |
3 u |
|
Comparing amounts
spent on dishwashers
and kettles |
75%
|
25% |
100% |
(a)
Amount that Min spent on the dishwashers
= 2(1 u + 350)
= 2 u + 700
Amount that Min spent on the kettles
= 3 x 1 u
= 3 u
Amount that Min spent on the dishwashers in percent
= 100% - 25%
= 75%
25% → 3 u
75% → 3 x 3 u = 9 u
9 u = 2 u + 700
9 u - 2 u = 700
7 u = 700
1 u = 700 ÷ 7 = 100
Cost of each dishwasher
= 100 + 350
= $450
(b)
100% → 3 u + 9 u = 12 u
Amount that Min spent altogether
= 12 u
= 12 x 100
= $1200
Answer(s): (a) $450; (b) $1200
