Adam has some paint.
He uses
25 of it to paint 5 tables and 9 cabinets.
The amount of paint needed to paint a cabinet is 3 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 |
5 |
9 |
Value |
1 u |
3 u |
Total value |
5 u |
27 u |
(a)
Paint needed for 1 table = 1 u
Paint needed for 1 cabinet = 3 u
Paint needed for 5 tables and 9 cabinets
= 5 x 1 u x 9 x 3 u
= 5 u + 27 u
= 32 u
25 of the paint = 32 u
15 of the paint = 32 u ÷ 2 = 16 u
Fraction of the remaining paint left
= 1 -
25=
35 35 of the paint = 3 x 16 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 ÷ 3 u
= 16
Answer(s): (a) 48; (b) 16