One coffee shop bought 47 kg of mutton and beef.
12 of the mutton and
27 of the beef were sold. The amount of beef sold was 4 kg more than the amount of mutton sold.
- How much beef did the coffee shop buy?
- How much mutton did the coffee shop buy?
|
Mutton |
Beef |
Total |
Before |
2x2 = 4 u |
7 u |
+ 14 |
47 |
Change |
- 1x2 = - 2 u |
- 2 u |
- 4 |
|
After |
1x2 = 2 u |
5 u |
+ 10 |
|
(a)
4 ÷ 2 x 7 = 14
4 ÷ 2 x 5 = 10
Total mass of mutton and beef bought
= 4 u + 7 u + 14
= 11 u + 14
11 u + 14 = 47
11 u = 47 - 14
11 u = 33
1 u = 33 ÷ 11 = 3
Mass of beef bought
= 7 u + 14
= 7 x 3 + 14
= 21 + 14
= 35 kg
(b)
Mass of mutton bought
= 4 u
= 4 x 3
= 12 kg
Answer(s): (a) 35 kg; (b) 12 kg