Adam has some paint.
He uses
34 of it to paint 10 tables and 7 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 |
10 |
7 |
Value |
1 u |
5 u |
Total value |
10 u |
35 u |
(a)
Paint needed for 1 table = 1 u
Paint needed for 1 cabinet = 5 u
Paint needed for 10 tables and 7 cabinets
= 10 x 1 u x 7 x 5 u
= 10 u + 35 u
= 45 u
34 of the paint = 45 u
14 of the paint = 45 u ÷ 3 = 15 u
Fraction of the remaining paint left
= 1 -
34=
14 14 of the paint = 1 x 15 u = 15 u
Remaining paint left = 15 u
Number of tables that Adam can paint with the remaining paint
= 15 u ÷ 1 u
= 15
(b)
Number of cabinets that Adam can paint with the remaining paint
= 15 u ÷ 5 u
= 3
Answer(s): (a) 15; (b) 3