Question

Two coffees and two muffins cost a total of 16 dollars. Two coffees and four muffins cost a total of 20 dollars. What is the individual price for a single coffee and a single muffin?

(A) DEFINE THE VARIABLES:

(B) EQUATIONS:

(D) QUESTIONS:


i) What is the cost of a coffee?


ii) What is the cost of a muffin?

Answer 1

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Actually Welcome to the Concept of the variables and linear equation.

let the cost of coffee be x and cost of muffin be y.

=> Let the first equation be => 2x + 2y = 16

=> Let the second equation be => 2x + 4y = 20

let's, reduce first eqn ==> x + y = 8 , then x = y-8

now we substitute value of x in second equation,

2(8-y) + 4y = 20

==> -2y + 4y +16 = 20.

==> 2y = 4

==> y = 2

hence, now x = 8-2 ==> 6 ,

so the cost of a Coffee = 6

cost of a muffin = 2

Cost of a muffin = 6