David W. answered • 12/03/19

I'll help you understand math!

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!

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