Adam has some paint.
He uses
49 of it to paint 7 tables and 9 cabinets.
The amount of paint needed to paint a cabinet is 5 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 |
7 |
9 |
Value |
1 u |
5 u |
Total value |
7 u |
45 u |
(a)
Paint needed for 1 table = 1 u
Paint needed for 1 cabinet = 5 u
Paint needed for 7 tables and 9 cabinets
= 7 x 1 u x 9 x 5 u
= 7 u + 45 u
= 52 u
49 of the paint = 52 u
19 of the paint = 52 u ÷ 4 = 13 u
Fraction of the remaining paint left
= 1 -
49=
59 59 of the paint = 5 x 13 u = 65 u
Remaining paint left = 65 u
Number of tables that Adam can paint with the remaining paint
= 65 u ÷ 1 u
= 65
(b)
Number of cabinets that Adam can paint with the remaining paint
= 65 u ÷ 5 u
= 13
Answer(s): (a) 65; (b) 13