Jade bought 6 dishwashers and 7 blenders. Each dishwasher costs $430 more than each blender. She spent 25% of her money on the blenders.
- How much did each dishwasher cost?
- How much did she spend altogether?
| |
Dishwashers |
Blenders |
Total |
| Number |
6 |
7 |
|
| Value |
1 u + $430 |
1 u |
|
| Total value |
6 u + $2580 |
7 u |
|
Comparing amounts
spent on dishwashers
and blenders |
75%
|
25% |
100% |
(a)
Amount that Jade spent on the dishwashers
= 6(1 u + 430)
= 6 u + 2580
Amount that Jade spent on the blenders
= 7 x 1 u
= 7 u
Amount that Jade spent on the dishwashers in percent
= 100% - 25%
= 75%
25% → 7 u
75% → 3 x 7 u = 21 u
21 u = 6 u + 2580
21 u - 6 u = 2580
15 u = 2580
1 u = 2580 ÷ 15 = 172
Cost of each dishwasher
= 172 + 430
= $602
(b)
100% → 7 u + 21 u = 28 u
Amount that Jade spent altogether
= 28 u
= 28 x 172
= $4816
Answer(s): (a) $602; (b) $4816
