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Mariana [72]
2 years ago
10

A store marks up the price of a sweater by $7.35. The total cost of the sweater is 25.65. How much does the store pay for the sw

eater? Define a variable and write an equation to represent the problem
Mathematics
1 answer:
UNO [17]2 years ago
3 0

Answer: the store paid $18.3 for the sweater

Step-by-step explanation:

Let x represent the amount that the store paid for the sweater.

A store marks up the price of a sweater by $7.35. This means that the new or current price of the sweater at the store would be

7.35 + x

The total cost of the sweater is 25.65. Therefore, an equation to represent the problem would be

7.35 + x = 25.65

Subtracting 7.35 from the left hand side and the right hand side of the equation, it becomes

7.35 + x - 7.35 = 25.65 - 7.35

x = $18.3

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Answer:

  • Multiples of 3 = 3, 9
  • Multiples of 5 = 5, 10

Step-by-step explanation:

In a list of 3 to 99, the first multiple of 3 will be none other than 3 itself because when multiplied by 1, you get three.

The second number will be: 3 * 2 = 6

In a list from 5 to 100, the first multiple will be 5 with 5 being a multiple of itself when multiplied by 1.

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7 0
3 years ago
Tyler went to the super market to buy food for a pantry. He has $36, and can carry up to 20pounds of food in his backpack. One p
AleksAgata [21]

This question is incomplete

Complete Question

Tyler went to the supermarket to buy food for a food pantry. He has $36, and can carry up to 20 pounds of food in his backpack. Pasta costs $1 for a 1-pound package. Pasta sauce costs $3 for a 1.5 pound jar. Let x = the number of packages of pasta and y = the number of jars of pasta sauce. One package of pasta is the right amount to go with one jar of pasta sauce. What is the best numbers of packages of pasta and jars of pasta sauce to buy for the food pantry? Explain your reasoning.

Answer:

Eight is the best numbers of packages of pasta and jars of pasta sauce to buy for the food pantry.

Step-by-step explanation:

Let

x = the number of packages of pasta

y = the number of jars of pasta sauce.

He has $36, and can carry up to 20 pounds of food in his backpack. Pasta costs $1 for a 1-pound package. Pasta sauce costs $3 for a 1.5 pound jar.

x + 1.5y ≤ 20....... Equation 1

x = 20 - 1.5y

x × $1 + y × $3 = $36

x + 3y ≤ 36..... Equation 2

20 - 1.5y + 3y = 36

-1.5y + 3y = 36 - 20

1.5y = 16

y = 16/1.5

y = 8

And x = 8

Therefore,

Eight is the best numbers of packages of pasta and jars of pasta sauce to buy for the food pantry.

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Step-by-step explanation:

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