Eric and Jaren go shopping and they both buy new shoes and hats. Eric buys 2 pairs of shoes and 3 hats and his bill is $175. Jaren buys 4 pairs of shoes and only 1 hat and his bill is $225. What is the cost of one pair of shoes? What is the cost of one hat?
+324 I think the latex screwed up there. I don't think you intended that to happen. But at least I can use latex normally now.
So let shoes be $s$ and hats be $h$.
Eric: $2s+3h=175$
Jaden: $4s+1h=225$
Solve the system of equations.
We can set them similar to each other by multiplying Eric's by 2 and subtracting all of Jaden's from it.
$2\cdot(2s+3h=175)\\\implies4s+6h=350$
Cancel like terms:
4s+6h=350
-4s+1h=225
-------------------
5h=75
Now we have 5 hats are 75 dollars, so 1 hat is 15 Dollars.
Sub into the secone equation:
$4s+15=225$
$4s=210$
$s=52.5$
Thus a pair of shoes is 52.50 Dollars.
+324 I think the latex screwed up there. I don't think you intended that to happen. But at least I can use latex normally now.
So let shoes be $s$ and hats be $h$.
Eric: $2s+3h=175$
Jaden: $4s+1h=225$
Solve the system of equations.
We can set them similar to each other by multiplying Eric's by 2 and subtracting all of Jaden's from it.
$2\cdot(2s+3h=175)\\\implies4s+6h=350$
Cancel like terms:
4s+6h=350
-4s+1h=225
-------------------
5h=75
Now we have 5 hats are 75 dollars, so 1 hat is 15 Dollars.
Sub into the secone equation:
$4s+15=225$
$4s=210$
$s=52.5$
Thus a pair of shoes is 52.50 Dollars.
