Rachel buys some scarves that cost $10 each and 2 purses that cost $16 each. The cost of Rachel's total purchase is $62. What equation can be used to find n, the number of scarves that Rebecca buys
Scarves Cost + Purses Cost = Total Cost
Calculate Scarves Cost
Scarves cost = Cost per scarf * number of scarves
Scarves cost = 10n
Calculate Purses Cost
Purses cost = Cost per purse * number of purses
Purses cost = 16 * 2
Purses cost = 32
Total Cost = 62. Plug in our numbers and values to the Total Cost equation :
10n + 32 = 62
Solve for n in the equation 10n + 32 = 62
Step 1: Group constants:
We need to group our constants 32 and 62. To do that, we subtract 32 from both sides
10n + 32 - 32 = 62 - 32
Step 2: Cancel 32 on the left side:
10n = 30
Step 3: Divide each side of the equation by 10
10n/10 = 30/10
n = 3
Scarves Cost + Purses Cost = Total Cost
Calculate Scarves Cost
Scarves cost = Cost per scarf * number of scarves
Scarves cost = 10n
Calculate Purses Cost
Purses cost = Cost per purse * number of purses
Purses cost = 16 * 2
Purses cost = 32
Total Cost = 62. Plug in our numbers and values to the Total Cost equation :
10n + 32 = 62
Solve for n in the equation 10n + 32 = 62
Step 1: Group constants:
We need to group our constants 32 and 62. To do that, we subtract 32 from both sides
10n + 32 - 32 = 62 - 32
Step 2: Cancel 32 on the left side:
10n = 30
Step 3: Divide each side of the equation by 10
10n/10 = 30/10
n = 3