One food outlet bought 185 kg of venison and beef.
13 of the venison and
47 of the beef were sold. The amount of beef sold was 8 kg more than the amount of venison sold.
- How much beef did the food outlet buy?
- How much venison did the food outlet buy?
|
Venison |
Beef |
Total |
Before |
3x4 = 12 u |
7 u |
+ 14 |
185 |
Change |
- 1x4 = - 4 u |
- 4 u |
- 8 |
|
After |
2x4 = 8 u |
3 u |
+ 6 |
|
(a)
8 ÷ 4 x 7 = 14
8 ÷ 4 x 3 = 6
Total mass of venison and beef bought
= 12 u + 7 u + 14
= 19 u + 14
19 u + 14 = 185
19 u = 185 - 14
19 u = 171
1 u = 171 ÷ 19 = 9
Mass of beef bought
= 7 u + 14
= 7 x 9 + 14
= 63 + 14
= 77 kg
(b)
Mass of venison bought
= 12 u
= 12 x 9
= 108 kg
Answer(s): (a) 77 kg; (b) 108 kg