Adam has some paint.
He uses
79 of it to paint 3 cupboards and 6 gates.
The amount of paint needed to paint a gate is 3 times that of a cupboard.
- How many cupboards can he paint using the remaining paint?
- How many gates can he paint using the remaining paint?
|
Cupboards |
Gates |
Number |
3 |
6 |
Value |
1 u |
3 u |
Total value |
3 u |
18 u |
(a)
Paint needed for 1 cupboard = 1 u
Paint needed for 1 gate = 3 u
Paint needed for 3 cupboards and 6 gates
= 3 x 1 u x 6 x 3 u
= 3 u + 18 u
= 21 u
79 of the paint = 21 u
19 of the paint = 21 u ÷ 7 = 3 u
Fraction of the remaining paint left
= 1 -
79=
29 29 of the paint = 2 x 3 u = 6 u
Remaining paint left = 6 u
Number of cupboards that Adam can paint with the remaining paint
= 6 u ÷ 1 u
= 6
(b)
Number of gates that Adam can paint with the remaining paint
= 6 u ÷ 3 u
= 2
Answer(s): (a) 6; (b) 2