Parvati bought 8 gallons of paint for a project. The kind of paint she bought is priced by the gallon. In total, the paint cost $144.

Which person bought the same kind of paint as Parvati?

A.
Brandon bought 5 gallons of paint for $90.

B.
Trevor bought 6 gallons of paint for $114.

C.
Natasha bought 7 gallons of paint for $143.

D.
Danaia bought 9 gallons of paint for $152.

1 answer

To find out who bought the same kind of paint as Parvati, we first need to calculate the price per gallon of paint that Parvati bought.

Parvati bought 8 gallons of paint for a total of $144. To find the price per gallon, we can divide the total cost by the number of gallons:

\[ \text{Price per gallon} = \frac{\text{Total cost}}{\text{Number of gallons}} = \frac{144}{8} = 18 \]

So, the price per gallon of paint is $18.

Now, let's calculate the price per gallon for each of the other people:

A. Brandon bought 5 gallons for $90: \[ \text{Price per gallon} = \frac{90}{5} = 18 \]

B. Trevor bought 6 gallons for $114: \[ \text{Price per gallon} = \frac{114}{6} = 19 \]

C. Natasha bought 7 gallons for $143: \[ \text{Price per gallon} = \frac{143}{7} \approx 20.43 \]

D. Danaia bought 9 gallons for $152: \[ \text{Price per gallon} = \frac{152}{9} \approx 16.89 \]

Comparing the price per gallon, we see that:

  • Parvati and Brandon both have a price per gallon of $18.
  • Trevor, Natasha, and Danaia have different prices per gallon.

Therefore, the person who bought the same kind of paint as Parvati is:

A. Brandon bought 5 gallons of paint for $90.