High School

A restaurant has salad and dinner forks, distinguished by the number of tines (the prong part of the fork) each has. The salad forks have 3 tines, while the dinner forks have 4 tines. If there is a total of 280 forks and 984 tines, how many salad forks does the restaurant have?

A. 120 salad forks
B. 140 salad forks
C. 160 salad forks
D. 180 salad forks

Answer :

Final answer:

The restaurant has 160 salad forks(c).

Explanation:

To solve this problem, we can set up a system of equations. Let x represent the number of salad forks and y represent the number of dinner forks. The number of forks is given as 280, so we have x + y = 280. The number of tines is given as 984, so we have 3x + 4y = 984. Solving this system of equations, we find that x = 160. Therefore, the restaurant has 160 salad forks.

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