One eating house bought 184 kg of pork and beef.
13 of the pork and
27 of the beef were sold. The amount of beef sold was 8 kg more than the amount of pork sold.
- How much beef did the eating house buy?
- How much pork did the eating house buy?
|
Pork |
Beef |
Total |
Before |
3x2 = 6 u |
7 u |
+ 28 |
184 |
Change |
- 1x2 = - 2 u |
- 2 u |
- 8 |
|
After |
2x2 = 4 u |
5 u |
+ 20 |
|
(a)
8 ÷ 2 x 7 = 28
8 ÷ 2 x 5 = 20
Total mass of pork and beef bought
= 6 u + 7 u + 28
= 13 u + 28
13 u + 28 = 184
13 u = 184 - 28
13 u = 156
1 u = 156 ÷ 13 = 12
Mass of beef bought
= 7 u + 28
= 7 x 12 + 28
= 84 + 28
= 112 kg
(b)
Mass of pork bought
= 6 u
= 6 x 12
= 72 kg
Answer(s): (a) 112 kg; (b) 72 kg