One coffee shop bought 278 kg of mutton and beef.
15 of the mutton and
47 of the beef were sold. The amount of beef sold was 20 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 |
5x4 = 20 u |
7 u |
+ 35 |
278 |
Change |
- 1x4 = - 4 u |
- 4 u |
- 20 |
|
After |
4x4 = 16 u |
3 u |
+ 15 |
|
(a)
20 ÷ 4 x 7 = 35
20 ÷ 4 x 3 = 15
Total mass of mutton and beef bought
= 20 u + 7 u + 35
= 27 u + 35
27 u + 35 = 278
27 u = 278 - 35
27 u = 243
1 u = 243 ÷ 27 = 9
Mass of beef bought
= 7 u + 35
= 7 x 9 + 35
= 63 + 35
= 98 kg
(b)
Mass of mutton bought
= 20 u
= 20 x 9
= 180 kg
Answer(s): (a) 98 kg; (b) 180 kg