Question

At a particular restaurant, each slider has 350 calories and each onion ring has 70 calories. A combination meal with onion rings and sliders is shown to have 1400 total calories and 8 more onion rings than sliders. Graphically solve a system of equations in order to determine the number of sliders in the combination meal, x,x, and the number of onion rings in the combination meal, yy.

Answer 1

Based on the graph, a solution for the system of equations is 2 and 10.

The number of sliders in the combination meal, x is equal to 2.

The number of onion rings in the combination meal, y is equal to 10.

How to write and solve the system of equations graphically?

In order to write a system of linear equations to describe this situation, we would assign variables to the number of sliders in the combination meal and number of onion rings in the combination meal, and then translate the word problem into algebraic equation as follows:

• Let the variable x represent the number of sliders in the combination meal.
• Let the variable y represent the number of onion rings in the combination meal.

Since each slider has 350 calories and each onion ring has 70 calories and a combination meal with onion rings and sliders has 1400 total calories, we have;

350x + 70y = 1400 ..........equation 1.

For 8 more onion rings than sliders, we have;

y = x + 8 .........equation 2.

Next, we would use an online graphing calculator to graphically solve the system of linear equations. Therefore, the required solution for the given system of linear equations is the point of intersection of the two (2) lines on the graph, which is given by the ordered pair (2, 10)