One food outlet bought 221 kg of beef and mutton.
14 of the beef and
47 of the mutton were sold. The amount of mutton sold was 8 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 |
4x4 = 16 u |
7 u |
+ 14 |
221 |
Change |
- 1x4 = - 4 u |
- 4 u |
- 8 |
|
After |
3x4 = 12 u |
3 u |
+ 6 |
|
(a)
8 ÷ 4 x 7 = 14
8 ÷ 4 x 3 = 6
Total mass of beef and mutton bought
= 16 u + 7 u + 14
= 23 u + 14
23 u + 14 = 221
23 u = 221 - 14
23 u = 207
1 u = 207 ÷ 23 = 9
Mass of mutton bought
= 7 u + 14
= 7 x 9 + 14
= 63 + 14
= 77 kg
(b)
Mass of beef bought
= 16 u
= 16 x 9
= 144 kg
Answer(s): (a) 77 kg; (b) 144 kg