Question

At a particular restaurant, each onion ring has 45 calories and each slider has 325 calories. A combination meal with onion rings and sliders is shown to have 920 total calories and 3 times as many onion rings as there are sliders. Write a system of equations that could be used to determine the number of onion rings in the combination meal and the number of sliders in the combination meal. Define the variables that you use to write the system.

Answer 1

Answer:

There were 6 onion rings and 2 slider in the combination meal.

Step-by-step explanation:

Let x be the number of onion rings and y be the number of slider.

Calories in one onion ring = 45 calories

Calories in one slider = 325 calories

Total number of calories = 920

Thus, we can write the equation:

$45x + 325y = 920$

There are 3 times as many onion rings as the sliders.

Thus, we can write the equation:

$x = 3y$

Solving the two equation by substitution method, we get,

$45(3y) + 325y = 920\\460y = 920\\y = 2\\x = 3y = 3(2) = 6$

Thus, there were 6 onion rings and 2 slider in the combination meal.

Answer 2

The system of equations that can be used to determine the required values is:

45x + 325y = 920 equation 1

3x = y equation 2

Where:

x = total number of onions

y = total number of sliders

In order to determine the number of onions and sliders in the combination meal, equation 1 and 2 have to be solved together in order to determine the required values. This is known as solving equations simultaneously. They can be solved using two methods:

1. elimination method
2. substitution method

To learn more about simultaneous equations, please check: brainly.com/question/23589883