One eating house bought 161 kg of chicken and mutton.
14 of the chicken and
37 of the mutton were sold. The amount of mutton sold was 12 kg more than the amount of chicken sold.
- How much mutton did the eating house buy?
- How much chicken did the eating house buy?
|
Chicken |
Mutton |
Total |
Before |
4x3 = 12 u |
7 u |
+ 28 |
161 |
Change |
- 1x3 = - 3 u |
- 3 u |
- 12 |
|
After |
3x3 = 9 u |
4 u |
+ 16 |
|
(a)
12 ÷ 3 x 7 = 28
12 ÷ 3 x 4 = 16
Total mass of chicken and mutton bought
= 12 u + 7 u + 28
= 19 u + 28
19 u + 28 = 161
19 u = 161 - 28
19 u = 133
1 u = 133 ÷ 19 = 7
Mass of mutton bought
= 7 u + 28
= 7 x 7 + 28
= 49 + 28
= 77 kg
(b)
Mass of chicken bought
= 12 u
= 12 x 7
= 84 kg
Answer(s): (a) 77 kg; (b) 84 kg