Shannon spent
45 of her money on 12 pencils and 9 pens. The cost of each pen is 4 times the cost of each pencil. She bought some more pencils with
56 of her remaining money. How many pencils did Shannon buy altogether?
12 pencils + 9 pens |
Remaining amount |
Total amount |
4 p = 48 u |
1 p = 12 u |
5 p |
12 pencils |
9 pens |
More pencils |
Left |
|
|
|
5 |
1 |
|
12 u |
36 u |
10 u |
|
|
Cost of 1 pencil = 1 u
Cost of 1 pen = 4 u
Cost of 12 pencils = 12 x 1 u = 12 u
Cost of 9 pens = 9 x 4 u = 36 u
Cost of 12 pencils + 9 pens
= 12 u + 36 u
= 48 u
4 p = 48 u
1 p = 48 u ÷ 4 = 12 u
Amount of remaining money that Shannon spent on buying more pencils
=
56 x 12 u
= 10 u
Number of pencils that Shannon bought with
56 of her remaining money
= 10 u ÷ 1 u
= 10
Total number of pencils that Shannon bought
= 12 + 10
= 22
Answer(s): 22