Glen owned two shops selling toys. Shop S earned 30% more money than Shop T on Friday. On Saturday, Shop S lost $239 while Shop T earned another $290. In the end, Shop S contributed to 38 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)x5 = (3) |
Shop S
(1) |
Shop T
(2) |
Make p the same
(2)x3 = (4) |
| Before |
65 u |
13 u |
10 u |
30 u |
| Change |
- 1195 |
- 239 |
+ 290 |
+ 870 |
| After |
15 p |
3 p |
5 p |
15 p |
Amount that Glen earned from Shop T on Friday in percentage = 100%
Amount that Glen earned from Shop S on Friday in percentage
= 100% + 30%
= 130%
130% =
130100 =
1310 Fraction of the total earnings that Glen earned from Shop T
= 1 -
38 =
58(3) = (4)
65 u - 1195 = 30 u + 870
65 u - 30 u = 1195 + 870
35 u = 2065
1 u = 2065 ÷ 35 = 59
Amount that Glen earned from Shop S over the two days
= 13 u - 239
= 13 x 59 - 239
= 767 - 239
= $528
Answer(s): $528
