One food outlet bought 92 kg of beef and mutton.
12 of the beef and
37 of the mutton were sold. The amount of mutton sold was 6 kg more than the amount of beef sold.
- How much mutton did the food outlet buy?
- How much beef did the food outlet buy?
|
Beef |
Mutton |
Total |
Before |
2x3 = 6 u |
7 u |
+ 14 |
92 |
Change |
- 1x3 = - 3 u |
- 3 u |
- 6 |
|
After |
1x3 = 3 u |
4 u |
+ 8 |
|
(a)
6 ÷ 3 x 7 = 14
6 ÷ 3 x 4 = 8
Total mass of beef and mutton bought
= 6 u + 7 u + 14
= 13 u + 14
13 u + 14 = 92
13 u = 92 - 14
13 u = 78
1 u = 78 ÷ 13 = 6
Mass of mutton bought
= 7 u + 14
= 7 x 6 + 14
= 42 + 14
= 56 kg
(b)
Mass of beef bought
= 6 u
= 6 x 6
= 36 kg
Answer(s): (a) 56 kg; (b) 36 kg