Luke owned two shops selling flowers. Shop S earned 25% more money than Shop T on Monday. On Tuesday, Shop S lost $274 while Shop T earned another $256. In the end, Shop S contributed to 49 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) |
S
(1) |
T
(2) |
Make p the same
(2)x4 = (4) |
| Before |
25 u |
5 u |
4 u |
16 u |
| Change |
- 1370 |
- 274 |
+ 256 |
+ 1024 |
| After |
20 p |
4 p |
5 p |
20 p |
Amount that Luke earned from Shop T on Monday in percentage = 100%
Amount that Luke earned from Shop S on Monday in percentage
= 100% + 25%
= 125%
125% =
125100 =
54 Fraction of the total earnings that Luke earned from Shop T
= 1 -
49 =
59(3) = (4)
25 u - 1370 = 16 u + 1024
25 u - 16 u = 1370 + 1024
9 u = 2394
1 u = 2394 ÷ 9 = 266
Amount that Luke earned from Shop S over the two days
= 5 u - 274
= 5 x 266 - 274
= 1330 - 274
= $1056
Answer(s): $1056
