A fruit vendor ordered some fruits. 30% of the fruits he ordered were mangoes and the rest were grapefruits. Each mango cost $1.20 and each grapefruit cost 50% more than each mango. The vendor paid a total of $486.
- Find the total cost of the mangoes.
- How many grapefruits did he order?
(a)
| |
Mangoes |
Grapefruits |
| Numbers |
3 u |
7 u |
| Price |
$1.20 |
$1.80 |
| Total value |
3.6 u |
12.6 u |
30% =
30100 =
310Number of mangoes = 3 u
Number of grapefruits = 10 u - 3 u = 7 u
Price of each mango in percent = 100%
Price of each grapefruit in percent = 100% + 50% = 150%
Price of each grapefruit
= 1.20 x 150%
= 1.20 x
150100 = $1.80
3.6 u + 12.6 u = 486
16.2 u = 486
1 u = 486 ÷ 16.2 = 30
Cost of the mangoes
= 3 u x 1.20
= 3 x 30 x 1.20
= $108
(b)
Number of grapefruits ordered
= 7 u
= 7 x 30
= 210
Answer(s): (a) $108; (b) 210
