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
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