Adam has some paint.
He uses
311 of it to paint 6 tables and 3 cabinets.
The amount of paint needed to paint a cabinet is 4 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 |
6 |
3 |
Value |
1 u |
4 u |
Total value |
6 u |
12 u |
(a)
Paint needed for 1 table = 1 u
Paint needed for 1 cabinet = 4 u
Paint needed for 6 tables and 3 cabinets
= 6 x 1 u x 3 x 4 u
= 6 u + 12 u
= 18 u
311 of the paint = 18 u
111 of the paint = 18 u ÷ 3 = 6 u
Fraction of the remaining paint left
= 1 -
311=
811 811 of the paint = 8 x 6 u = 48 u
Remaining paint left = 48 u
Number of tables that Adam can paint with the remaining paint
= 48 u ÷ 1 u
= 48
(b)
Number of cabinets that Adam can paint with the remaining paint
= 48 u ÷ 4 u
= 12
Answer(s): (a) 48; (b) 12