Fiona was saving money to buy pens. She saved $4 every 5 days. After saving for 55 days, she went to buy pens that were on sale.
- What was the most number of pens she could buy?
- Fiona wanted to buy 44 pens. How much more did she need to save?
(a)
Number of sets of 5 days
= 55 ÷ 5
= 11
Amount that Fiona saved in 55 days
= 11 x 4
= $44
Maximum number of sets of 8 pens that Fiona could buy
= 44 ÷ 9
= 4 r $8
Remaining amount left after buying sets of 8 pens = $8
Maximum number of sets of 4 pens that Fiona could buy with $8
= 8 ÷ 5
= 1 r $3
Remaining amount left after buying sets of 4 pens = $3
Maximum number of pens that Fiona could buy with $3
= 3 ÷ 3
= 1
Most number of pens that Fiona could buy
= 4 x 8 + 1 x 4 + 1
= 32 + 4 + 1
= 37
(b)
Number of sets of 8 pens that Fiona could buy
= 44 ÷ 8
= 5 r 4
Number of sets of 4 pens that Fiona could buy
= 4 ÷ 4
= 1 r 0
Amount that Fiona needed to buy 44 pens
= 5 x 9 + 1 x 5
= 45 + 5
= $50
Amount that Fiona needed to save more
= 50 - 44
= $6
Answer(s): (a) 37; (b) $6
