Let's turn this problem into a system of equations! Let s = cost of one scarf Let h = cost of one hat
What's given: 4s+6h=52 2h=1+s
You can either use subtraction or substitution. Let's do substitution. In the second equation, we can isolate the s on one side. s=2h-1 Then we can plug this value into the first equation. 4(2h-1)+6h=52 (Use PEMDAS to solve!:)) 8h-4+6h=52 14h=56 h=4 This means hats cost $4.
Now that we know how much hats cost, let's plug that back into one of the given equations. 2h=1+s 2(4)=1+s 8=1+s 7=s This means that scarves cost $7.
To confirm our answer is correct, let's plug the answers we found into the other given equation. 4s+6h=52 4(7)+6(4)=52 28+24=52 52=52 Yep! Now we know it's the right answer.
