Glen owned two shops selling jewellery. Shop R earned 50% more money than Shop S on Saturday. On Sunday, Shop R lost $216 while Shop S earned another $276. In the end, Shop R contributed to 25 of the total earnings of the two shops over the two days operation. How much did Shop R earn over the two days?
| |
Make p the same
(1)x3 = (3) |
R
(1) |
S
(2) |
Make p the same
(2)x2 = (4) |
| Before |
9 u |
3 u |
2 u |
4 u |
| Change |
- 648 |
- 216 |
+ 276 |
+ 552 |
| After |
6 p |
2 p |
3 p |
6 p |
Amount that Glen earned from Shop S on Saturday in percentage = 100%
Amount that Glen earned from Shop R on Saturday in percentage
= 100% + 50%
= 150%
150% =
150100 =
32 Fraction of the total earnings that Glen earned from Shop S
= 1 -
25 =
35(3) = (4)
9 u - 648 = 4 u + 552
9 u - 4 u = 648 + 552
5 u = 1200
1 u = 1200 ÷ 5 = 240
Amount that Glen earned from Shop R over the two days
= 3 u - 216
= 3 x 240 - 216
= 720 - 216
= $504
Answer(s): $504
