Adam has some paint.
He uses
23 of it to paint 10 cabinets and 7 tables.
The amount of paint needed to paint a table is 2 times that of a cabinet.
- How many cabinets can he paint using the remaining paint?
- How many tables can he paint using the remaining paint?
|
Cabinets |
Tables |
Number |
10 |
7 |
Value |
1 u |
2 u |
Total value |
10 u |
14 u |
(a)
Paint needed for 1 cabinet = 1 u
Paint needed for 1 table = 2 u
Paint needed for 10 cabinets and 7 tables
= 10 x 1 u x 7 x 2 u
= 10 u + 14 u
= 24 u
23 of the paint = 24 u
13 of the paint = 24 u ÷ 2 = 12 u
Fraction of the remaining paint left
= 1 -
23=
13 13 of the paint = 1 x 12 u = 12 u
Remaining paint left = 12 u
Number of cabinets that Adam can paint with the remaining paint
= 12 u ÷ 1 u
= 12
(b)
Number of tables that Adam can paint with the remaining paint
= 12 u ÷ 2 u
= 6
Answer(s): (a) 12; (b) 6