Question

A store sells 2 sizes of mugs: a small mug for $3.50 and a large mug for $6.80. A customer buys 15 mugs and pays $69. How many mugs of each size does the customer buy?

Answer 1

An equation is formed of two equal expressions. The number of small cups the customer bought is 10, while the number of large cups customer bought is 5.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the number of small cup be represented by x, while the number of large cup be represented by y. Therefore, the total number of cups bought by the customer can be written as,

x + y = 15

Solving the equation for y,

y = 15 - x

The total amount that is paid by the customer can be written as,

3.50x + 6.80y = 69

3.50x + 6.80(15 - x) = 69

3.50x + 102 - 6.80x = 69

-3.3x  = 33

x = 10

Substitute the value of x in any one of the above equation,

x + y = 15

10 + y = 15

y = 5

Hence, the number of small cups the customer bought is 10, while the number of large cups customer bought is 5.

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