Sarah bought some fruits. She spent $17 more than
45 of her money on some dragonfruits. She then spent $8 more than 30% of the remaining money on some grapefruits. Given that she had $20 left,
- How much did Sarah have at first?
- How many kilograms of grapefruits did she buy if they cost $4 per kg?
(a)
100% - 30% = 70%
70% of remaining money
= 20 + 8
= 28
1% of remaining money
= 28 ÷ 70
= 0.4
100% of remaining money
= 100 x 0.4
= 40
15 of total money
= 40 + 17
= $57
55 of total money
= 5 x 57
= $285
Amount that Sarah had at first = $285
(b)
30% of the remaining money
= 40 x 30%
= 40 x
30100 = $12
Amount spent on grapefruits
= 8 + 12
= $20
Weight of grapefruits bought
= 20 ÷ 4
= 5 kg
Answer(s): (a) $285; (b) 8 kg