Hazel bought 8 washing machines and 9 blenders. Each washing machine costs $434 more than each blender. She spent 20% of her money on the blenders.
- How much did each washing machine cost?
- How much did she spend altogether?
| |
Washing machines |
Blenders |
Total |
| Number |
8 |
9 |
|
| Value |
1 u + $434 |
1 u |
|
| Total value |
8 u + $3472 |
9 u |
|
Comparing amounts
spent on washing machines
and blenders |
80%
|
20% |
100% |
(a)
Amount that Hazel spent on the washing machines
= 8(1 u + 434)
= 8 u + 3472
Amount that Hazel spent on the blenders
= 9 x 1 u
= 9 u
Amount that Hazel spent on the washing machines in percent
= 100% - 20%
= 80%
20% → 9 u
80% → 4 x 9 u = 36 u
36 u = 8 u + 3472
36 u - 8 u = 3472
28 u = 3472
1 u = 3472 ÷ 28 = 124
Cost of each washing machine
= 124 + 434
= $558
(b)
100% → 9 u + 36 u = 45 u
Amount that Hazel spent altogether
= 45 u
= 45 x 124
= $5580
Answer(s): (a) $558; (b) $5580
