Adam has some paint.
He uses
49 of it to paint 4 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 |
4 |
6 |
Value |
1 u |
2 u |
Total value |
4 u |
12 u |
(a)
Paint needed for 1 table = 1 u
Paint needed for 1 cabinet = 2 u
Paint needed for 4 tables and 6 cabinets
= 4 x 1 u x 6 x 2 u
= 4 u + 12 u
= 16 u
49 of the paint = 16 u
19 of the paint = 16 u ÷ 4 = 4 u
Fraction of the remaining paint left
= 1 -
49=
59 59 of the paint = 5 x 4 u = 20 u
Remaining paint left = 20 u
Number of tables that Adam can paint with the remaining paint
= 20 u ÷ 1 u
= 20
(b)
Number of cabinets that Adam can paint with the remaining paint
= 20 u ÷ 2 u
= 10
Answer(s): (a) 20; (b) 10