Math

QuestionAutumn spends \34.14total,$5.76oneggs,andbuys6identicalbagsofapples.Find34.14 total, \$5.76 on eggs, and buys 6 identical bags of apples. Find x$, the cost per bag of apples.

Studdy Solution

STEP 1

Assumptions1. The total amount paid is $34.14\$34.14. . The total amount paid for eggs is $5.76\$5.76.
3. The number of bags of apples bought is6.
4. Each bag of apples costs the same amount, which we will denote as xx.

STEP 2

First, we need to find out how much Autumn spent on apples. We can do this by subtracting the amount she spent on eggs from the total amount she spent.
Costofapples=TotalamountCostofeggsCost\, of\, apples = Total\, amount - Cost\, of\, eggs

STEP 3

Now, plug in the given values for the total amount and the cost of eggs to calculate the cost of apples.
Costofapples=$34.14$5.76Cost\, of\, apples = \$34.14 - \$5.76

STEP 4

Calculate the cost of apples.
Costofapples=$34.14$.76=$28.38Cost\, of\, apples = \$34.14 - \$.76 = \$28.38

STEP 5

Now that we have the total cost of apples, we can find the cost of each bag of apples by dividing the total cost of apples by the number of bags.
Costperbag=Costofapples/NumberofbagsCost\, per\, bag = Cost\, of\, apples / Number\, of\, bags

STEP 6

Plug in the values for the cost of apples and the number of bags to calculate the cost per bag.
Costperbag=$28.38/6Cost\, per\, bag = \$28.38 /6

STEP 7

Calculate the cost per bag.
Costperbag=$28.38/6=$4.73Cost\, per\, bag = \$28.38 /6 = \$4.73Each bag of apples costs $4.73.

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