Adam has some paint.
He uses
23 of it to paint 3 doors and 5 tables.
The amount of paint needed to paint a table is 3 times that of a door.
- How many doors can he paint using the remaining paint?
- How many tables can he paint using the remaining paint?
|
Doors |
Tables |
Number |
3 |
5 |
Value |
1 u |
3 u |
Total value |
3 u |
15 u |
(a)
Paint needed for 1 door = 1 u
Paint needed for 1 table = 3 u
Paint needed for 3 doors and 5 tables
= 3 x 1 u x 5 x 3 u
= 3 u + 15 u
= 18 u
23 of the paint = 18 u
13 of the paint = 18 u ÷ 2 = 9 u
Fraction of the remaining paint left
= 1 -
23=
13 13 of the paint = 1 x 9 u = 9 u
Remaining paint left = 9 u
Number of doors that Adam can paint with the remaining paint
= 9 u ÷ 1 u
= 9
(b)
Number of tables that Adam can paint with the remaining paint
= 9 u ÷ 3 u
= 3
Answer(s): (a) 9; (b) 3