Question

Patricia and her brother lan help themselves to a pitcher of lemonade on the kitchen counter. Patricia takes a glass and fills it with p ounces of

lemonade. lan takes a bigger glass and pours himself 20% more lemonade than Patricia poured in her glass. Write an expression to represent the
quantity of lemonade (in ounces) in lan's glass in terms of the quantity in Patricia's glass (p).

Answer 1

To find the amount of lemonade in Ian's glass, which is 20% more than Patricia's p ounces, we multiply p by 1.20. The expression for Ian's lemonade quantity is 1.20p.

Step-by-step explanation:

Patria fills her glass with p ounces of lemonade. Ian pours himself 20% more lemonade than Patricia. To calculate the quantity in Ian's glass, we need to increase Patricia's amount by 20%. The expression for Ian's quantity of lemonade in ounces, in terms of Patricia's quantity p, is given by:

Amount in Ian's glass = p + (20% of p)

To express 20% as a decimal, we use 0.20. Therefore, the calculation becomes:

Amount in Ian's glass = p + (0.20 × p)

Combining like terms, we get:

Amount in Ian's glass = p (1 + 0.20)

Amount in Ian's glass = p × 1.20

So, the expression to represent the quantity of lemonade in Ian's glass is 1.20p.