Marion bought 6 televisions and 10 sandwich makers. Each television costs $396 more than each sandwich maker. She spent 25% of her money on the sandwich makers.
- How much did each television cost?
- How much did she spend altogether?
| |
Televisions |
Sandwich makers |
Total |
| Number |
6 |
10 |
|
| Value |
1 u + $396 |
1 u |
|
| Total value |
6 u + $2376 |
10 u |
|
Comparing amounts
spent on televisions
and sandwich makers |
75%
|
25% |
100% |
(a)
Amount that Marion spent on the televisions
= 6(1 u + 396)
= 6 u + 2376
Amount that Marion spent on the sandwich makers
= 10 x 1 u
= 10 u
Amount that Marion spent on the televisions in percent
= 100% - 25%
= 75%
25% → 10 u
75% → 3 x 10 u = 30 u
30 u = 6 u + 2376
30 u - 6 u = 2376
24 u = 2376
1 u = 2376 ÷ 24 = 99
Cost of each television
= 99 + 396
= $495
(b)
100% → 10 u + 30 u = 40 u
Amount that Marion spent altogether
= 40 u
= 40 x 99
= $3960
Answer(s): (a) $495; (b) $3960
