Adam has some paint.
He uses
311 of it to paint 6 gates and 7 tables.
The amount of paint needed to paint a table is 3 times that of a gate.
- How many gates can he paint using the remaining paint?
- How many tables can he paint using the remaining paint?
|
Gates |
Tables |
Number |
6 |
7 |
Value |
1 u |
3 u |
Total value |
6 u |
21 u |
(a)
Paint needed for 1 gate = 1 u
Paint needed for 1 table = 3 u
Paint needed for 6 gates and 7 tables
= 6 x 1 u x 7 x 3 u
= 6 u + 21 u
= 27 u
311 of the paint = 27 u
111 of the paint = 27 u ÷ 3 = 9 u
Fraction of the remaining paint left
= 1 -
311=
811 811 of the paint = 8 x 9 u = 72 u
Remaining paint left = 72 u
Number of gates that Adam can paint with the remaining paint
= 72 u ÷ 1 u
= 72
(b)
Number of tables that Adam can paint with the remaining paint
= 72 u ÷ 3 u
= 24
Answer(s): (a) 72; (b) 24