Sabrina bought 4 washing machines and 7 hand blenders. Each washing machine costs $264 more than each hand blender. She spent 20% of her money on the hand blenders.
- How much did each washing machine cost?
- How much did she spend altogether?
| |
Washing machines |
Hand blenders |
Total |
| Number |
4 |
7 |
|
| Value |
1 u + $264 |
1 u |
|
| Total value |
4 u + $1056 |
7 u |
|
Comparing amounts
spent on washing machines
and hand blenders |
80%
|
20% |
100% |
(a)
Amount that Sabrina spent on the washing machines
= 4(1 u + 264)
= 4 u + 1056
Amount that Sabrina spent on the hand blenders
= 7 x 1 u
= 7 u
Amount that Sabrina spent on the washing machines in percent
= 100% - 20%
= 80%
20% → 7 u
80% → 4 x 7 u = 28 u
28 u = 4 u + 1056
28 u - 4 u = 1056
24 u = 1056
1 u = 1056 ÷ 24 = 44
Cost of each washing machine
= 44 + 264
= $308
(b)
100% → 7 u + 28 u = 35 u
Amount that Sabrina spent altogether
= 35 u
= 35 x 44
= $1540
Answer(s): (a) $308; (b) $1540
