PSLE Dana and Charlie bought durians at the prices shown below.
2 Large durians for $7
5 Small durians for $4
- Dana bought an equal number of large and small durians. She spent $54 more on the large ones. How many durians did she buy altogether?
- Charlie spent an equal amount of money on the large and small durians. What fraction of the durians he bought were large?
(a)
Number of large and small durians that Dana bought is the same. Make the number of large and small durians the same. LCM of 2 and 5 is 10.
Cost of 2 large durians = $7
Cost of 10 large durians = 5 x 7 = $35
Cost of 5 small durians = $4
Cost of 10 small durians = 2 x 4 = $8
Difference in the cost of buying 10 small durians and 10 large durians
= 35 - 8
= $27
Number of sets of durians
= 54 ÷ 27
= 2
Number of durians that Dana bought
= 2 x 2 x 10
= 40
(b)
Charlie spent an equal amount of money on the large and small durians. Make the amount of money spent on the large and small durians the same.
LCM of 7 and 4 is 28.
Number of large durians that Charlie bought
= 2 x (28 ÷ 7)
= 2 x 4
= 8
Number of the small durians that Charlie bought
= 5 x (28 ÷ 4)
= 5 x 7
= 35
Fraction of the durians that Charlie bought that were large
=
88 + 35 =
843 Answer(s): (a) 40; (b)
843