Question

10 bagels and 4 muffins cost 13 dollars and 5 bagels and 8 muffins costs 4 dollars

How much do the bagels cost and how much do the muffins cost?

Please help

Answer 1

The cost of bagel is $0.8 and that of muffins is $1.25.

Explanation:

Let the bagels cost is x and muffins cost is y.

ATQ,

10x+4y=13 ....(1)

5x+8y=14 ....(2) (it should be 14 instead of 4)

Multiply equation (1) by 2 such that,

20x+8y=26 ...(3)

Now subtract equation (2) and (3).

5x+8y-(20x+8y)=14-26

5x+8y-20x-8y=-12

-15x = -12

x = $0.8

Put the value of x in equation (1)

10(0.8)+4y=13

8+4y=13

4y = 13-8

4y=5

y = $1.25

So, the cost of bagel is $0.8 and that of muffins is $1.25.