cody brought 2 pairs of gloves and 4 hats for $43.00 tori brought 2 pairs of gloves and 2 hats for $30.00 find the prices of the hats and gloves

Answer 1

2g + 4h = 43

2g + 2h = 30

Well, there are numerous ways to solve this, but hopefully you can see that Cody simply bought 2 more hats than Tori and paid $13 more, meaning 2 hats cost $13.

2h = 13

2h/2 = 13/2

h = $6.50

Then, since we know 2 hats cost $13, two pairs of gloves make up the rest of Tori's $30 purchase, or $17.

2g = 17

2g/2 = 17/2

g = $8.50

If neither of those jumped out at you, perhaps you see that both bought 2 pairs of gloves.

2g = 43 - 4h

2g = 30 - 2h

Hey, 2g equals two different things, so they must equal each other!

43 - 4h = 30 - 2h

13 = 2h

h = $6.50

Then, substitute into either equation.

2g + 2(6.5) = 30

2g + 13 = 30

2g = 17

g = $8.50

Don't see that, either? How about elimination?

2g + 4h = 43

-2g - 2h = -30

2h = 13

h = $6.50

etc...

Hope this helps!

Answer 2

First of all, you question shows that your English grammar needs as much help your math.

Fortunately for you, my answer will not be so sloppy!

Cody: 2G + 4H = 43

Tori: 2G + 2H = 30

Subtract: 2H = 13

Divide: H = 6.50

Then from Tori's equation: G = 8.50