A shoe store pays 1980$ a month for rent. The average profit on each pair of men's shoes is $25, and the average profit on each pair of wemons shoes is $65. They usually sell 3times as many pairs of wemons shoes as men's. How many pairs of shoes of each type of shoe must the store sell each month to pay the rent?

Number of men's shoes = x = 9 shoes

Number of women's shoes = y = 27 shoes

Step-by-step explanation:

A shoe store pays 1980$ a month for rent. The average profit on each pair of men's shoes is $25, and the average profit on each pair of wemons shoes is $65. .How many pairs of shoes of each type of shoe must the store sell each month to pay the rent?

Number of men's shoes = x

Number of women's shoes = y

The system of equations is given as:

$25 × x + $65 × y = $1980

25x + 36y = $1980 Equation 1

They usually sell 3times as many pairs of wemons shoes as men's

y = 3x

25x + 65y = $1980 Equation 1

25x + 65(3x) = 1980

25x + 195x = 1980

220x = 1980

x = 1980/220

x = 9 shoes

y = 3x

y = 3(9)

y = 27 shoes

Number of men's shoes = x = 9 shoes

Number of women's shoes = y = 27 shoes

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