Ben owned two shops selling souvenirs. Shop S earned 50% more money than Shop T on Saturday. On Sunday, Shop S lost $307 while Shop T earned another $294. In the end, Shop S contributed to 512 of the total earnings of the two shops over the two days operation. How much did Shop S earn over the two days?
| |
Make p the same
(1)x7 = (3) |
S
(1) |
T
(2) |
Make p the same
(2)x5 = (4) |
| Before |
21 u |
3 u |
2 u |
10 u |
| Change |
- 2149 |
- 307 |
+ 294 |
+ 1470 |
| After |
35 p |
5 p |
7 p |
35 p |
Amount that Ben earned from Shop T on Saturday in percentage = 100%
Amount that Ben earned from Shop S on Saturday in percentage
= 100% + 50%
= 150%
150% =
150100 =
32 Fraction of the total earnings that Ben earned from Shop T
= 1 -
512 =
712(3) = (4)
21 u - 2149 = 10 u + 1470
21 u - 10 u = 2149 + 1470
11 u = 3619
1 u = 3619 ÷ 11 = 329
Amount that Ben earned from Shop S over the two days
= 3 u - 307
= 3 x 329 - 307
= 987 - 307
= $680
Answer(s): $680
