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QuestionYou buy 2 tacos and a salad for \$2.50, pay 8% tax, and leave a \$3 tip. Total is \$13.80. Find the taco price.

Studdy Solution

STEP 1

Assumptions1. The cost of the salad is $.50\$.50 . The sales tax is 8%8\%
3. The tip left is $3\$3
4. The total amount paid is $13.80\$13.80
5. The cost of two tacos is the same, meaning each taco costs the same amount6. The sales tax is applied to the total cost of the tacos and salad before the tip is added

STEP 2

First, we need to find the total amount before tax and tip. We can do this by subtracting the tip from the total amount paid.
Total before tax and tip=Total amount paid−TipTotal\, before\, tax\, and\, tip = Total\, amount\, paid - Tip

STEP 3

Now, plug in the given values for the total amount paid and the tip to calculate the total before tax and tip.
Total before tax and tip=$13.80−$3Total\, before\, tax\, and\, tip = \$13.80 - \$3

STEP 4

Calculate the total amount before tax and tip.
Total before tax and tip=$13.80−$3=$10.80Total\, before\, tax\, and\, tip = \$13.80 - \$3 = \$10.80

STEP 5

Now that we have the total amount before tax and tip, we can find the total amount before tax. This is done by dividing the total before tax and tip by 11 plus the tax rate.
Total before tax=Total before tax and tip/(1+Tax rate)Total\, before\, tax = Total\, before\, tax\, and\, tip / (1 + Tax\, rate)

STEP 6

Convert the percentage to a decimal value.
8%=0.088\% =0.08Total before tax=$10.80/(1+0.08)Total\, before\, tax = \$10.80 / (1 +0.08)

STEP 7

Calculate the total amount before tax.
Total before tax=$10.80/1.08=$10Total\, before\, tax = \$10.80 /1.08 = \$10

STEP 8

Now that we have the total amount before tax, we can find the cost of two tacos. This is done by subtracting the cost of the salad from the total before tax.
Cost of two tacos=Total before tax−Cost of saladCost\, of\, two\, tacos = Total\, before\, tax - Cost\, of\, salad

STEP 9

Plug in the values for the total before tax and the cost of the salad to calculate the cost of two tacos.
Cost of two tacos=$−$2.50Cost\, of\, two\, tacos = \$ - \$2.50

STEP 10

Calculate the cost of two tacos.
Cost of two tacos=$10−$2.50=$7.50Cost\, of\, two\, tacos = \$10 - \$2.50 = \$7.50

STEP 11

Now that we have the cost of two tacos, we can find the cost of one taco. This is done by dividing the cost of two tacos by $$.
Cost of one taco=Cost of two tacos/Cost\, of\, one\, taco = Cost\, of\, two\, tacos /

STEP 12

Plug in the value for the cost of two tacos to calculate the cost of one taco.
Cost of one taco=$7.50/2Cost\, of\, one\, taco = \$7.50 /2

STEP 13

Calculate the cost of one taco.
Cost of one taco=$7.50/2=$3.75Cost\, of\, one\, taco = \$7.50 /2 = \$3.75One taco costs $3.75.

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