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.
Let X be the shoe price. The jersey's price is 1/4*X.
Jeff bought 6 pairs of shoes and 4 jerseys for 6*X + 4*(1/4X) = $560.
Multiplying through the parentheses produces 6X + X = $560
Combining like terms produces 7X = $560
Dividing both sides by 7 produces X = $80, so the shoe price is $80
Since Jeff bought 6 pairs of shoes, he spent 80*6 = $<<80*6=480>>480 on shoes
#### 480
Below is an instruction that describes a task. Write a response that appropriately completes the request.

### Instruction:
You are solving math problems. Here are some examples of how to solve the task:

Musa is the class teacher of a class of 45 students. He wants to split them into three groups by age. If a third of the class is under 11 years, and two-fifths are above 11 but under 13, how many students will be in the third group (13 years and above)?The first group is a third of the class which is (1/3)*45 = <<1/3*45=15>>15 students
There are 15 students in the first group, so there are 45-15 = <<45-15=30>>30 students
The second group is two-fifths of the class which is (2/5)*45 = <<2/5*45=18>>18 students
There are 18 in the second group so there are 30-18 = <<30-18=12>>12 students left in the third group
#### 12[END]

Denmark wants to order pizza.  For toppings, he has 3 cheese, 4 meat and 5 vegetable options, one of which is peppers. He can have only one selection from each topping category (one cheese, one meat and one vegetable). However, if he chooses to have pepperoni, he cannot have peppers. How many topping combinations does he have total?Permutate the ingredients. 3 cheeses * 4 meats * 5 vegetables = <<3*4*5=60>>60 choice
However, we must take out the combinations that could have pepperoni and peppers, 1 cheese +1 meat *+1 vegetable = <<1+1+1=3>>3 bad choices
60 - 3 = <<60-3=57>>57 choices
#### 57[END]

Now, solve this next question in the style of the above examples:

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.

### Response:
Let X be the shoe price. The jersey's price is 1/4*X.
Jeff bought 6 pairs of shoes and 4 jerseys for 6*X + 4*(1/4X) = $560.
Multiplying through the parentheses produces 6X + X = $560
Combining like terms produces 7X = $560
Dividing both sides by 7 produces X = $80, so the shoe price is $80
Since Jeff bought 6 pairs of shoes, he spent 80*6 = $<<80*6=480>>480 on shoes
#### 480