8 G + 5 H = 50
9 G + 6 H = 57
Fill in the blanks.
- 1 G = _____
- 1 H = _____
- 4 G + 4 H = _____
(a)
8 G + 5 H = 50 --- (1)
9 G + 6 H = 57 --- (2)
Make H the same.
LCM of 5 and 6 = 30
(1) x 6
48 G + 30 H = 300 --- (3)
(2) x 5
45 G + 30 H = 285 --- (4)
(a)
(3) - (4)
(48 G + 30 H) - (45 G + 30 H) = 300 - 285
48 G - 45 G + 30 H - 30 H = 15
3 G = 15
1 G = 15 ÷ 3 = 5
(b)
Substitute G = 5 into (1).
8 G + 5 H = 50
8 x 5 + 5 H = 50
40 + 5 H = 50
5 H = 50 - 40 = 10
1 H = 10 ÷ 5 = 2
(c)
4 G + 4 H
= 4 x 5 + 4 x 2
= 20 + 8
= 28
Answer(s): (a) 5; (b) 2; (c) 28