PSLE Jaslyn and Riordan bought mangoes at the prices shown below.
4 Large mangoes for $10
5 Small mangoes for $4
- Jaslyn bought an equal number of large and small mangoes. She spent $68 more on the large ones. How many mangoes did she buy altogether?
- Riordan spent an equal amount of money on the large and small mangoes. What fraction of the mangoes he bought were small?
(a)
Number of large and small mangoes that Jaslyn bought is the same. Make the number of large and small mangoes the same. LCM of 4 and 5 is 20.
Cost of 4 large mangoes = $10
Cost of 20 large mangoes = 5 x 10 = $50
Cost of 5 small mangoes = $4
Cost of 20 small mangoes = 4 x 4 = $16
Difference in the cost of buying 20 small mangoes and 20 large mangoes
= 50 - 16
= $34
Number of sets of mangoes
= 68 ÷ 34
= 2
Number of mangoes that Jaslyn bought
= 2 x 2 x 20
= 80
(b)
Riordan spent an equal amount of money on the large and small mangoes. Make the amount of money spent on the large and small mangoes the same.
LCM of 10 and 4 is 20.
Number of large mangoes that Riordan bought
= 4 x (20 ÷ 10)
= 4 x 2
= 8
Number of the small mangoes that Riordan bought
= 5 x (20 ÷ 4)
= 5 x 5
= 25
Fraction of the mangoes that Riordan bought that were small
=
258 + 25 =
2533 Answer(s): (a) 80; (b)
2533