5 H + 3 J = 34
6 H + 4 J = 44
Fill in the blanks.
- 1 H = _____
- 1 J = _____
- 2 H + 2 J = _____
(a)
5 H + 3 J = 34 --- (1)
6 H + 4 J = 44 --- (2)
Make J the same.
LCM of 3 and 4 = 12
(1) x 4
20 H + 12 J = 136 --- (3)
(2) x 3
18 H + 12 J = 132 --- (4)
(a)
(3) - (4)
(20 H + 12 J) - (18 H + 12 J) = 136 - 132
20 H - 18 H + 12 J - 12 J = 4
2 H = 4
1 H = 4 ÷ 2 = 2
(b)
Substitute H = 2 into (1).
5 H + 3 J = 34
5 x 2 + 3 J = 34
10 + 3 J = 34
3 J = 34 - 10 = 24
1 J = 24 ÷ 3 = 8
(c)
2 H + 2 J
= 2 x 2 + 2 x 8
= 4 + 16
= 20
Answer(s): (a) 2; (b) 8; (c) 20