Answer:
There are 230 calories in each cheeseburger and 290 calories in each small fries.
Step-by-step explanation:
Let us assume:
The calories in each cheeseburger = x
The calories in each small fries = y
So, the calories in 4 cheeseburger
=4 (calories in 1 cheeseburger ) = 4 x
and the calories in 5 small fries = 5(calories in 1 small fries ) =5 y
⇒ 4 x + 5 y = 2310
Similarly, calories in 3 cheeseburger
= 3 ( calories in 1 cheeseburger ) = 3 x
and the calories in 2 small fries = 2 (calories in 1 small fries )= 2 y
⇒ 3 x + 2 y = 1330
Solving the given system of equation:
4 x + 5 y = 2310 ............(1)
3 x + 2 y = 1330 ............. (2)
Multiply equation (1) with (-3) , and (2) by 4 and add both equation.
-12 x - 15 y + 12 x + 8 y = -6930 + 5320
or, - 7 y = -1610
⇒ y = 1610 / 7 = 230 , or y = 230
Putting this in (2) , we get 3 x + 2 y = 1330
⇒ 3 x + 2(230) = 1330 or, 3 x = 1330 - 460 = 870
or, x = 870/3 = 290
⇒ x = 290
Hence, there are 230 calories in each cheeseburger.
There are 290 calories in each small fries.
