Ken owned two shops selling eyewear. Shop B earned 30% more money than Shop C on Tuesday. On Wednesday, Shop B lost $358 while Shop C earned another $274. In the end, Shop B contributed to 59 of the total earnings of the two shops over the two days operation. How much did Shop B earn over the two days?
| |
Make p the same
(1)x4 = (3) |
Shop B
(1) |
Shop C
(2) |
Make p the same
(2)x5 = (4) |
| Before |
52 u |
13 u |
10 u |
50 u |
| Change |
- 1432 |
- 358 |
+ 274 |
+ 1370 |
| After |
20 p |
5 p |
4 p |
20 p |
Amount that Ken earned from Shop C on Tuesday in percentage = 100%
Amount that Ken earned from Shop B on Tuesday in percentage
= 100% + 30%
= 130%
130% =
130100 =
1310 Fraction of the total earnings that Ken earned from Shop C
= 1 -
59 =
49(3) = (4)
52 u - 1432 = 50 u + 1370
52 u - 50 u = 1432 + 1370
2 u = 2802
1 u = 2802 ÷ 2 = 1401
Amount that Ken earned from Shop B over the two days
= 13 u - 358
= 13 x 1401 - 358
= 18213 - 358
= $17855
Answer(s): $17855
