PSLE Xandra and Neave bought towels at the prices shown below.
3 Large towels for $14
4 Small towels for $10
- Xandra bought an equal number of large and small towels. She spent $104 more on the large ones. How many towels did she buy altogether?
- Neave spent an equal amount of money on the large and small towels. What fraction of the towels he bought were large?
(a)
Number of large and small towels that Xandra bought is the same. Make the number of large and small towels the same. LCM of 3 and 4 is 12.
Cost of 3 large towels = $14
Cost of 12 large towels = 4 x 14 = $56
Cost of 4 small towels = $10
Cost of 12 small towels = 3 x 10 = $30
Difference in the cost of buying 12 small towels and 12 large towels
= 56 - 30
= $26
Number of sets of towels
= 104 ÷ 26
= 4
Number of towels that Xandra bought
= 4 x 2 x 12
= 96
(b)
Neave spent an equal amount of money on the large and small towels. Make the amount of money spent on the large and small towels the same.
LCM of 14 and 10 is 70.
Number of large towels that Neave bought
= 3 x (70 ÷ 14)
= 3 x 5
= 15
Number of the small towels that Neave bought
= 4 x (70 ÷ 10)
= 4 x 7
= 28
Fraction of the towels that Neave bought that were large
=
1515 + 28 =
1543 Answer(s): (a) 96; (b)
1543