Ten bagels and four muffins cost $13. five bagels and eight muffins cost $14. how much does a bagel cost? how much does a muffin cost?

The cost of bagel is $0.8; and the cost of muffin is $1.25

Let the cost of a bagel be $x and the cost of a muffin be $y

From the question

Ten bagels and four muffins cost $13

That is,

10x + 4y = $13 ---------- (1)

Also,

Five bagels and eight muffins cost $14

That is,

5x + 8y = $14 ----------- (2)

Now, we will solve the two equations simultaneously

From equation (1)

10x + 4y = 13

Make y the subject of the equation

------------ (3)

Substitute this into equation (2)

This gives

Collect like terms

Now, divide both sides by -15

Substitute the value of x into equation (3) to get y

∴ x = 0.8 and y = 1.25

Hence, the cost of bagel is $0.8; and the cost of muffin is $1.25

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