One canteen bought 233 kg of mutton and beef.
15 of the mutton and
37 of the beef were sold. The amount of beef sold was 15 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 |
5x3 =
15 u |
7 u |
+ 35 |
233 |
Change |
- 1x3 =
- 3 u |
- 3 u |
- 15 |
|
After |
4x3 =
12 u |
4 u |
+ 20 |
|
(a)
15 ÷ 3 x 7 = 35
15 ÷ 3 x 4 = 20
Total mass of mutton and beef bought
= 15 u + 7 u + 35
= 22 u + 35
22 u + 35 = 233
22 u = 233 - 35
22 u = 198
1 u = 198 ÷ 22 = 9
Mass of beef bought
= 7 u + 35
= 7 x 9 + 35
= 63 + 35
= 98 kg
(b)
Mass of mutton bought
= 15 u
= 15 x 9
= 135 kg
Answer(s): (a) 98 kg; (b) 135 kg
