Elyse was saving money to buy pens. She saved $4 every 6 days. After saving for 96 days, she went to buy pens that were on sale.
- What was the most number of pens she could buy?
- Elyse wanted to buy 51 pens. How much more did she need to save?
(a)
Number of sets of 6 days
= 96 ÷ 6
= 16
Amount that Elyse saved in 96 days
= 16 x 4
= $64
Maximum number of sets of 9 pens that Elyse could buy
= 64 ÷ 13
= 4 r $12
Remaining amount left after buying sets of 9 pens = $12
Maximum number of sets of 5 pens that Elyse could buy with $12
= 12 ÷ 8
= 1 r $4
Remaining amount left after buying sets of 5 pens = $4
Maximum number of pens that Elyse could buy with $4
= 4 ÷ 4
= 1
Most number of pens that Elyse could buy
= 4 x 9 + 1 x 5 + 1
= 36 + 5 + 1
= 42
(b)
Number of sets of 9 pens that Elyse could buy
= 51 ÷ 9
= 5 r 6
Number of sets of 5 pens that Elyse could buy
= 6 ÷ 5
= 1 r 1
Number of individual pens that Elyse could buy = 1
Amount that Elyse needed to buy 51 pens
= 5 x 13 + 1 x 8 + 4
= 65 + 8 + 4
= $77
Amount that Elyse needed to save more
= 77 - 64
= $13
Answer(s): (a) 42; (b) $13