At a sale on winter clothing, Cody bought two pairs of gloves and four hats for $43.00. Tori bought two pairs of gloves and two hats for $30.00. Find the cost of each.

Answer 1

cost of one pair of gloves is G and cost of one hat is H. In math, what this is telling us is:

2G + 4H = 43 and

2G + 2H = 30 . The difference between the first and the second is 2H = 13. In other words, Cody bought two more hats than Tori and it cost him $13 more. That means each hat is $6.50 . Plugging that (H = 6.5) back in to the second equation gives 2G + 2*6.5 = 30. Solving for G: 2G = 30 - 2*6.5 = 17 . Dividing both sides by 2 we have G = 17/2 = 8.5. So a pair of gloves is $8.50 and a hat $6.50

Answer 2

At a sale on winter clothing, Cody bought two pairs of gloves and four hats for $43.00. Tori bought two pairs of gloves and two hats for $30.00. Find the cost of each.

First, let's define our variables. g=gloves and h=hats

Here's what we know:

2g+4h=43

2g+2h=30

Let's solve this system of equations by elimination. To do that, let's eliminate the "g" variable by multiplying the bottom equation by -1.

2g+4h=43

-1(2g+2h=30)

2g+4h=43

-2g-2h=-30

Add the equations together.

2h=13

Solve for h by dividing by 2.

When you have your answer for "h" put that answer into one of the two original equations to solve for "g"