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 cost? Bagel: $[.5] Muffin: $[1.4]

The cost of a bagel is $0.5The cost of a muffin is $1.4Step-by-step explanation:The given is:Four bagels and five muffins cost $9Two bagels and ten muffins cost $15We need to find the cost of a bagel and the cost of a muffinAssume 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 yMultiply 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 = 0.5Substitute 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 $1.4The cost of a bagel is $0.5The cost of a muffin is $1.4Learn more:You can learn more about the system of linear equations in brainly.com/question/6075514#LearnwithBrainly