A bakery made some mushroom, chicken and beef sandwiches. For every 2 mushroom sandwiches that were made, 1 beef sandwich were made. For every 8 mushroom sandwiches that were made, 7 chicken sandwiches were made.
- Find the ratio of the number of mushroom sandwiches to chicken sandwiches to beef sandwiches made.
- After the bakery made another 52 beef sandwiches, 25% of the sandwiches now were beef sandwiches. How many mushroom sandwiches did the bakery make?
(a)
Mushroom |
Chicken |
Beef |
2x4 |
|
1x4 |
8x1 |
7x1 |
|
8 u |
7 u |
4 u |
Mushroom : Chicken : Beef
8 : 7 : 4
(b)
|
Mushroom |
Chicken |
Beef |
Before |
15 u |
4 u |
Change |
No change |
+ 52 |
After |
3x5 = 15 u |
1x5 = 5 u |
Total number of mushroom and chicken sandwiches
= 7 u + 8 u
= 15 u
Increase in the number of beef sandwiches
= 5 u - 4 u
= 1 u
1 u = 52
Number of mushroom sandwiches
= 8 u
= 8 x 52
= 416
Answer(s): (a) 8 : 7 : 4 ; (b) 416