Owen owned two shops selling souvenirs. Shop S earned 25% more money than Shop T on Monday. On Tuesday, Shop S lost $331 while Shop T earned another $347. In the end, Shop S contributed to 25 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)x3 = (3) |
S
(1) |
T
(2) |
Make p the same
(2)x2 = (4) |
| Before |
15 u |
5 u |
4 u |
8 u |
| Change |
- 993 |
- 331 |
+ 347 |
+ 694 |
| After |
6 p |
2 p |
3 p |
6 p |
Amount that Owen earned from Shop T on Monday in percentage = 100%
Amount that Owen earned from Shop S on Monday in percentage
= 100% + 25%
= 125%
125% =
125100 =
54 Fraction of the total earnings that Owen earned from Shop T
= 1 -
25 =
35(3) = (4)
15 u - 993 = 8 u + 694
15 u - 8 u = 993 + 694
7 u = 1687
1 u = 1687 ÷ 7 = 241
Amount that Owen earned from Shop S over the two days
= 5 u - 331
= 5 x 241 - 331
= 1205 - 331
= $874
Answer(s): $874
