Answer:
30 forks
Explanation:
Let's start by simplifying the given ratio. Since both 15 and 25 are multiples of 5, we can divide the whole ratio by 5.
Forks: spoons
= 15: 25
= 3: 5
This means that forks take up 3 units of the total number of utensils, while the number of spoons is 5 units of the total number of utensils.
Number of forks= 3u
Number of spoons= 5u
Units shall be represented by the letter u from this point forth.
Now, we can form an equation using the total number of utensils in the cafeteria.
Assuming that the utensils in the cafeteria are only forks and spoons,
number of fork and spoons= 80
3u +5u= 80
8u= 80
Let's solve for u.
Divide by 8 on both sides:
1u= 80 ÷8
1u= 10
This means that 1 unit represents 10 utensils.
Substitute the value of u into the expression of the number of forks:
Number of forks
= 3u
= 3(10)
= 30
Thus, there are 30 forks in the cafeteria.