Jen was saving money to buy pens. She saved $7 every 8 days. After saving for 48 days, she went to buy pens that were on sale.
- What was the most number of pens she could buy?
- Jen wanted to buy 27 pens. How much more did she need to save?
(a)
Number of sets of 8 days
= 48 ÷ 8
= 6
Amount that Jen saved in 48 days
= 6 x 7
= $42
Maximum number of sets of 6 pens that Jen could buy
= 42 ÷ 11
= 3 r $9
Remaining amount left after buying sets of 6 pens = $9
Maximum number of sets of 3 pens that Jen could buy with $9
= 9 ÷ 6
= 1 r $3
Remaining amount left after buying sets of 3 pens = $3
Maximum number of pens that Jen could buy with $3
= 3 ÷ 3
= 1
Most number of pens that Jen could buy
= 3 x 6 + 1 x 3 + 1
= 18 + 3 + 1
= 22
(b)
Number of sets of 6 pens that Jen could buy
= 27 ÷ 6
= 4 r 3
Number of sets of 3 pens that Jen could buy
= 3 ÷ 3
= 1 r 0
Amount that Jen needed to buy 27 pens
= 4 x 11 + 1 x 6
= 44 + 6
= $50
Amount that Jen needed to save more
= 50 - 42
= $8
Answer(s): (a) 22; (b) $8
