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Floyd is an aspiring music artist. He has a record contract that pays him a base rate of
$200 a month and an additional
$12 for each album that he sells. Last month he earned a total of
$644. How many albums did Floyd sell last month?

Floyd is an aspiring music artist. He has a record contract that pays him a base rate of $\$ 200$ a month and an additional $\$ 12$ for each album that he sells. Last month he earned a total of $\$ 644$ . How many albums did Floyd sell last month?

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Divide numbers ending in zeros: word problems

Full solution

Q. Floyd is an aspiring music artist. He has a record contract that pays him a base rate of

\$ 200

a month and an additional

\$ 12

for each album that he sells. Last month he earned a total of

\$ 644

. How many albums did Floyd sell last month?

Identify Variables and Equation: Identify the variables and the equation based on the given information. $\newline$ Base rate per month: $\$200$ $\newline$ Additional rate per album sold: $\$12$ $\newline$ Total earnings last month: $\$644$ $\newline$ Let the number of albums sold be $x$ . $\newline$ The equation representing the total earnings is: $\newline$ Total earnings = Base rate + (Additional rate per album sold $\times$ Number of albums sold) $\newline$ $\$644 = \$200 + (\$12 \times x)$
Subtract Base Rate: Subtract the base rate from the total earnings to find out how much was earned from album sales alone. $\newline$ $\$644 - \$200 = \$444$ $\newline$ This means Floyd earned $\$444$ from selling albums.
Divide Earnings by Rate: Divide the earnings from album sales by the additional rate per album to find the number of albums sold. $\newline$ $\frac{\$444}{\$12} = x$ $\newline$ $x = 37$ $\newline$ Floyd sold $37$ albums last month.

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