Adam has some paint.
He uses
59 of it to paint 2 cabinets and 9 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 |
2 |
9 |
Value |
1 u |
2 u |
Total value |
2 u |
18 u |
(a)
Paint needed for 1 cabinet = 1 u
Paint needed for 1 table = 2 u
Paint needed for 2 cabinets and 9 tables
= 2 x 1 u x 9 x 2 u
= 2 u + 18 u
= 20 u
59 of the paint = 20 u
19 of the paint = 20 u ÷ 5 = 4 u
Fraction of the remaining paint left
= 1 -
59=
49 49 of the paint = 4 x 4 u = 16 u
Remaining paint left = 16 u
Number of cabinets that Adam can paint with the remaining paint
= 16 u ÷ 1 u
= 16
(b)
Number of tables that Adam can paint with the remaining paint
= 16 u ÷ 2 u
= 8
Answer(s): (a) 16; (b) 8