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Taya2010 [7]
3 years ago
13

Four bagels and five muffins cost $9. Two bagels and ten muffins cost $15. How much does a bagel cost? How much does a muffin co

st? Bagel: $[.5] Muffin: $[1.4]
Mathematics
1 answer:
aliina [53]3 years ago
3 0

The cost of a bagel is $0.5

The cost of a muffin is $1.4

Step-by-step explanation:

The given is:

  • Four bagels and five muffins cost $9
  • Two bagels and ten muffins cost $15

We need to find the cost of a bagel and the cost of a muffin

Assume that the cost of a bagel is $x and the cost of a muffin is $y

∵ The cost of one bagel = $x

∵ The cost of one muffin = $y

∵ Four bagels and five muffins cost $9

∴ 4 x + 5 y = 9 ⇒ (1)

∵ Two bagels and ten muffins cost $15

∴ 2 x + 10 y = 15 ⇒ (2)

Now let us solve the system of equations to find the values of x and y

Multiply equation (1) by -2 to eliminate y

∵ -2(4 x) + -2(5 y) = -2(9)

∴ -8 x - 10 y = -18 ⇒ (3)

- Add equations (2) and (3)

∴ -6 x = -3

- Divide both sides by -6

∴ x = 0.5

Substitute the value of x in equation (1) to find the value of y

∵ 4(0.5) + 5 y = 9

∴ 2 + 5 y = 9

- Subtract 2 from both sides

∴ 5 y = 7

- Divide both sides by 5

∴ y = 1.4

∵ x represents the cost of a bagel

∵ y represents the cost of a muffin

∴ The cost of a bagel is $0.5

∴ The cost of a muffin is $1.4

The cost of a bagel is $0.5

The cost of a muffin is $1.4

Learn more:

You can learn more about the system of linear equations in brainly.com/question/6075514

#LearnwithBrainly

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<h3>According to the given information:</h3>

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I understand that the question you are looking for is:

The owner of the Good Deals Store opens a new store across town. For the new store, the owner estimates that, during business hours, an average of 90 shoppers per hour enter the store and each of them stays an average of 12 minutes. The average number of shoppers in the new store at any time is what percent less than the average number of shoppers in the original store at any time?

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The diagram of the tree is shown in the attached photo. The tree fell with its tip forming an angle of 36 degrees with the ground. It forms a right angle triangle,ABC. Angle C is gotten by subtracting the sum of angle A and angle B from 180(sum of angles in a triangle is 180 degrees).

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