Question

two small mugs and 1 large mug can hold 20 ounces of coffee. three large mugs minus one small mug is equivalent to 32 ounces of coffee. how many ounces of coffee does one large mug hold?

Answer 1

12 ounces

Explanation:

Let x = Small Mug

& y = Large Mug

Then we write the given statement in an equation form as below:

2x + 1y = 20 ounces of coffee ---------------> EQUATION 1

3y - 1x = 32 ounces of coffee ----------------> EQUATION 2

Let us solve the above equation for y;

Multiply Equation 2 by '2', we get;

-2x + 6y = 64 ----------------------> Equation 3

Add Equation 1 and Equation 3, we get;

(2x + y) + (-2x + 6y) = 64 + 20

7y = 84

Divide the above equation by 7, we get;

y = 84 / 7

or, y = 12

Hence, One Large mug can hold 12 ounces of coffee.