Question

Matthew and Mark were selling cups of lemonade. Matthew sold 15 more cups of lemonade than Mark. Together they sold 81 cups. How many cups did Matthew sell?

Answer 1

48 cups

Explanation:

Matthew and Mark were selling cups of lemonade.

Let the number of cups that Matthew sold = x

The number of cups Mark sold = y

Together they sold 81 cups.

= x + y = 81 cups...... Equation 1

Matthew sold 15 more cups of lemonade than Mark.

x = y + 15 cups

Substituting y + 15 for x in Equation 1

y + 15 + y = 81 cups

2y +15 = 81 cups

2y = 81 -15

2y = 66 cups

y = 66 cups/2

y = 33 cups

Hence, the number of cups Mark sold = 33 cups.

The number of cups Matthew sold is calculated as:

= x = y + 15 cups

x = 33 cups + 15 cups

x = 48 cups