Adam has some paint.
He uses
38 of it to paint 5 doors and 8 tables.
The amount of paint needed to paint a table is 5 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 |
5 |
8 |
Value |
1 u |
5 u |
Total value |
5 u |
40 u |
(a)
Paint needed for 1 door = 1 u
Paint needed for 1 table = 5 u
Paint needed for 5 doors and 8 tables
= 5 x 1 u x 8 x 5 u
= 5 u + 40 u
= 45 u
38 of the paint = 45 u
18 of the paint = 45 u ÷ 3 = 15 u
Fraction of the remaining paint left
= 1 -
38=
58 58 of the paint = 5 x 15 u = 75 u
Remaining paint left = 75 u
Number of doors that Adam can paint with the remaining paint
= 75 u ÷ 1 u
= 75
(b)
Number of tables that Adam can paint with the remaining paint
= 75 u ÷ 5 u
= 15
Answer(s): (a) 75; (b) 15