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Start by figuring out how many rolls are needed to prepare each amount of servings.
s servings: 3/8s oz
16 servings: 6 oz
24 servings: 9 oz
80 servings: 30 oz
100 servings: 37.5 oz
Let's investigate each of the questions one at a time.
We know that for each roll we prepare, we will need 3 oz of salmon and that this equals to 8 servings of sushi. To find an expression to calculate the amount of salmon needed to prepare s servings, it will be useful to know first how many rolls we will need.
1 roll = 8 servings
⇓
1/8s rolls = s servings
Now that we have an expression to calculate the amount of salmon needed for any quantity of servings s, we can use it to calculate the salmon needed for the different servings that the problem asks. Let's try for 16 servings first.
s= 16
a/c* b = a* b/c
Multiply
Calculate quotient
We would need 6 oz to prepare 16 servings of sushi. In the same way we can use the expression we found for the other servings.
| s | 3/8s | Salmon needed |
|---|---|---|
| 16 | 3/8* 16 | 6 oz |
| 24 | 3/8* 24 | 9 oz |
| 80 | 3/8* 80 | 30 oz |
| 100 | 3/8 * 100 | 37.5 oz |