Adam has some paint.
He uses
78 of it to paint 2 tables and 6 cabinets.
The amount of paint needed to paint a cabinet is 2 times that of a table.
- How many tables can he paint using the remaining paint?
- How many cabinets can he paint using the remaining paint?
|
Tables |
Cabinets |
Number |
2 |
6 |
Value |
1 u |
2 u |
Total value |
2 u |
12 u |
(a)
Paint needed for 1 table = 1 u
Paint needed for 1 cabinet = 2 u
Paint needed for 2 tables and 6 cabinets
= 2 x 1 u x 6 x 2 u
= 2 u + 12 u
= 14 u
78 of the paint = 14 u
18 of the paint = 14 u ÷ 7 = 2 u
Fraction of the remaining paint left
= 1 -
78=
18 18 of the paint = 1 x 2 u = 2 u
Remaining paint left = 2 u
Number of tables that Adam can paint with the remaining paint
= 2 u ÷ 1 u
= 2
(b)
Number of cabinets that Adam can paint with the remaining paint
= 2 u ÷ 2 u
= 1
Answer(s): (a) 2; (b) 1