Answer:
Number of onion rings in the combination = x = 6
Number of sliders in the combination = y = 2
Step-by-step explanation:
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.
Let
Number of onion rings in the combination = x
Number of sliders in the combination = y
45x + 325y = 920 (1)
3 times as many onion rings as there are sliders
x = 3y (2)
Substitute x = 3y into (1)
45x + 325y = 920
45(3y) + 325y = 920
135y + 325y = 920
460y = 920
y = 920/460
y = 2
Substitute y = 2 into (2)
x = 3y
x = 3(2)
x = 6
Number of onion rings in the combination = x = 6
Number of sliders in the combination = y = 2
