human
Jeff bought 6 pairs of shoes and 4 jerseys for $560. Jerseys cost 1/4 price of one pair of shoes. Find the shoe's price total price.
assistant
Define a variable ** Let X be the shoe price. The jersey's price is 1/4*X.
Write an equation ** Jeff bought 6 pairs of shoes and 4 jerseys for 6*X + 4*(1/4X) = $560.
Simplify ** Multiplying through the parentheses produces 6X + X = $560
Simplify ** Combining like terms produces 7X = $560
Divide by 7 ** Dividing both sides by 7 produces X = $80, so the shoe price is $80
How much did Jeff spend on shoes? ** Since Jeff bought 6 pairs of shoes, he spent 80*6 = $<<80*6=480>>480 on shoes
#### 480