Sam owned two shops selling souvenirs. Shop B earned 30% more money than Shop C on Thursday. On Friday, Shop B lost $474 while Shop C earned another $450. 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 |
- 1896 |
- 474 |
+ 450 |
+ 2250 |
| After |
20 p |
5 p |
4 p |
20 p |
Amount that Sam earned from Shop C on Thursday in percentage = 100%
Amount that Sam earned from Shop B on Thursday in percentage
= 100% + 30%
= 130%
130% =
130100 =
1310 Fraction of the total earnings that Sam earned from Shop C
= 1 -
59 =
49(3) = (4)
52 u - 1896 = 50 u + 2250
52 u - 50 u = 1896 + 2250
2 u = 4146
1 u = 4146 ÷ 2 = 2073
Amount that Sam earned from Shop B over the two days
= 13 u - 474
= 13 x 2073 - 474
= 26949 - 474
= $26475
Answer(s): $26475
