One canteen bought 194 kg of mutton and beef.
13 of the mutton and
38 of the beef were sold. The amount of beef sold was 9 kg more than the amount of mutton sold.
- How much beef did the canteen buy?
- How much mutton did the canteen buy?
|
Mutton |
Beef |
Total |
Before |
3x3 = 9 u |
8 u |
+ 24 |
194 |
Change |
- 1x3 = - 3 u |
- 3 u |
- 9 |
|
After |
2x3 = 6 u |
5 u |
+ 15 |
|
(a)
9 ÷ 3 x 8 = 24
9 ÷ 3 x 5 = 15
Total mass of mutton and beef bought
= 9 u + 8 u + 24
= 17 u + 24
17 u + 24 = 194
17 u = 194 - 24
17 u = 170
1 u = 170 ÷ 17 = 10
Mass of beef bought
= 8 u + 24
= 8 x 10 + 24
= 80 + 24
= 104 kg
(b)
Mass of mutton bought
= 9 u
= 9 x 10
= 90 kg
Answer(s): (a) 104 kg; (b) 90 kg