Diana bought some fruits. She spent $14 more than
45 of her money on some pears. She then spent $8 more than 20% of the remaining money on some persimmons. Given that she had $24 left,
- How much did Diana have at first?
- How many kilograms of persimmons did she buy if they cost $4 per kg?
(a)
100% - 20% = 80%
80% of remaining money
= 24 + 8
= 32
1% of remaining money
= 32 ÷ 80
= 0.4
100% of remaining money
= 100 x 0.4
= 40
15 of total money
= 40 + 14
= $54
55 of total money
= 5 x 54
= $270
Amount that Diana had at first = $270
(b)
20% of the remaining money
= 40 x 20%
= 40 x
20100 = $8
Amount spent on persimmons
= 8 + 8
= $16
Weight of persimmons bought
= 16 ÷ 4
= 4 kg
Answer(s): (a) $270; (b) 8 kg