One food outlet bought 218 kg of beef and mutton.
15 of the beef and
27 of the mutton were sold. The amount of mutton sold was 4 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 |
5x2 = 10 u |
7 u |
+ 14 |
218 |
Change |
- 1x2 = - 2 u |
- 2 u |
- 4 |
|
After |
4x2 = 8 u |
5 u |
+ 10 |
|
(a)
4 ÷ 2 x 7 = 14
4 ÷ 2 x 5 = 10
Total mass of beef and mutton bought
= 10 u + 7 u + 14
= 17 u + 14
17 u + 14 = 218
17 u = 218 - 14
17 u = 204
1 u = 204 ÷ 17 = 12
Mass of mutton bought
= 7 u + 14
= 7 x 12 + 14
= 84 + 14
= 98 kg
(b)
Mass of beef bought
= 10 u
= 10 x 12
= 120 kg
Answer(s): (a) 98 kg; (b) 120 kg