need help with homework

Question

At a particular restaurant, each onion ring has 70 calories and each slider has 200 calories. A combination meal with onion rings and sliders is shown to have 1020 total calories and twice 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

Hi Kentaria,

Assume a combination meal has t number of onion rings and s number of sliders.

calories from t onion rings = 70 t

calories from s sliders = 200 s

twice as many onion rings as there are sliders ==> 2 t = s

2 t - s = 0 ---- 1 equation

a combination meal has total 1020 calories ==>

calories from t onion rings + calories from s sliders = 1020 calories

70 t + 200 s = 1020 --- 2 ( substitute )

So, the system of equations are 2 t - s = 0

and 70 t + 200 s = 1020

Solve these two equations to find the values of t and s.

Hope this is helpful!

Answer 2

Let's define some variables and relationships

n = # of onion rings

s = # of sliders

m = meal

Now, define the values:

n=70 calories

s=200 calories

A combination meal with onion rings and sliders is shown to have 1020 total calories

m=1020 calories

and twice as many onion rings as there are sliders

2n=s

Therefore, the two equations should be:

1. n(70)+200(s)=1020

and

1. 2n=s