Write System of Equations from Context

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.

I need

Let __=_________________________

Let __=_________________________

And

The Systems of Equations

_____________________

_____________________

Answer 1

I would want to use variables that quickly remind me of what the represent so

Let o = onion rings

Let s = sliders

The number of calories from O and S will their respective variable multiple by their caloric amounts, so:

45o

325s

920 = 325s + 45o

we can work it through to check the math

since we also know that there are three times as many onion rings as sliders, so: o = 3s, so our 45o can become 45(3s)

920 = 325s + 45(3s)

920 = 325s + 135s

920 = 460s

s = 2

o =3s, so o=6

6 onion rings x 45 calories = 270 calories

2 sliders x 325 calories = 650 calories

_____________

920 calories

personally, i'd have eaten more onion rings.