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QuestionCalculate the average price per gallon Nancy paid for gasoline from four stations: Texaco (15 gallons at \$3.95), Mobil (18 gallons at \$3.10), BP (21 gallons at \$3.80), Shell (22 gallons at \$3.99). Round to the nearest cent.

Studdy Solution

STEP 1

Assumptions1. The table provided gives the accurate amount of gallons purchased and the price per gallon at each gas station. . The average price per gallon is calculated by dividing the total amount spent on gasoline by the total number of gallons purchased.
3. The total amount spent at each gas station is calculated by multiplying the gallons purchased by the price per gallon.

STEP 2

First, we need to calculate the total amount spent at each gas station. We can do this by multiplying the gallons purchased by the price per gallon.
For TexacoTotal amount=Gallons purchasedtimesPrice per gallonTotal\, amount = Gallons\, purchased \\times Price\, per\, gallon

STEP 3

Now, plug in the given values for the gallons purchased and price per gallon at Texaco to calculate the total amount spent.
Total amount=15times$3.95Total\, amount =15 \\times \$3.95

STEP 4

Calculate the total amount spent at Texaco.
Total amount=15times$3.95=$59.25Total\, amount =15 \\times \$3.95 = \$59.25

STEP 5

Repeat steps2 to4 for the other gas stations.
For MobilTotal amount=18times$3.10=$55.80Total\, amount =18 \\times \$3.10 = \$55.80For BPTotal amount=21times$3.80=$79.80Total\, amount =21 \\times \$3.80 = \$79.80For ShellTotal amount=22times$3.99=$87.78Total\, amount =22 \\times \$3.99 = \$87.78

STEP 6

Now that we have the total amount spent at each gas station, we can find the total amount spent on gasoline. This is done by adding the total amounts spent at each gas station.
Total spent=Total amount at Texaco+Total amount at Mobil+Total amount at BP+Total amount at ShellTotal\, spent = Total\, amount\, at\, Texaco + Total\, amount\, at\, Mobil + Total\, amount\, at\, BP + Total\, amount\, at\, Shell

STEP 7

Plug in the values for the total amounts spent at each gas station to calculate the total spent.
Total spent=$59.25+$55.80+$79.80+$87.78Total\, spent = \$59.25 + \$55.80 + \$79.80 + \$87.78

STEP 8

Calculate the total amount spent on gasoline.
Total spent=$59.25+$55.80+$79.80+$87.78=$282.63Total\, spent = \$59.25 + \$55.80 + \$79.80 + \$87.78 = \$282.63

STEP 9

Now that we have the total amount spent on gasoline, we can find the total number of gallons purchased. This is done by adding the gallons purchased at each gas station.
Total gallons=Gallons at Texaco+Gallons at Mobil+Gallons at BP+Gallons at ShellTotal\, gallons = Gallons\, at\, Texaco + Gallons\, at\, Mobil + Gallons\, at\, BP + Gallons\, at\, Shell

STEP 10

Plug in the values for the gallons purchased at each gas station to calculate the total gallons.
Total gallons=15+18+21+22Total\, gallons =15 +18 +21 +22

STEP 11

Calculate the total number of gallons purchased.
Total gallons=15+18+21+22=76Total\, gallons =15 +18 +21 +22 =76

STEP 12

Now that we have the total amount spent on gasoline and the total number of gallons purchased, we can calculate the average price per gallon. This is done by dividing the total amount spent by the total number of gallons.
Average price per gallon=Total spent/Total gallonsAverage\, price\, per\, gallon = Total\, spent / Total\, gallons

STEP 13

Plug in the values for the total spent and the total gallons to calculate the average price per gallon.
Average price per gallon=$282.63/76Average\, price\, per\, gallon = \$282.63 /76

STEP 14

Calculate the average price per gallon.
Average price per gallon=$282.63/76=$3.72Average\, price\, per\, gallon = \$282.63 /76 = \$3.72ancy paid an average price of $3.72 per gallon.

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