Question

Michael can buy 4 sandwiches and 3 cups of coffee for $23.75. Amy can buy 2 sandwhiches and 5 cups of coffee for $19.75 how much does one saandwhich cost

Answer 1

Answer: The cost of one sandwich is $4.25 and the cost of one cup of coffee is $2.25.

Step-by-step explanation:

Let x be the cost of one sandwich and y be the cost of one cup of coffee.

By considering the given situation, we have the following equations :-

$4x+3y=23.75.................(1)\\\\2x+5y=19.75................(2)$

Multiply 2 on both sides of equation (2) , we get

$4x+10y=39.5................(3)$

Subtract equation (1) from equation (3), we get

$7y=15.75\\\\\Rightarrow\ y=\dfrac{15.75}{7}=2.25$

Put value of y in (1), we get

$4x+3(2.25)=23.75\\\\\Rightarrow\ 4x+6.75=23.75\\\\\Rightarrow\ 4x =17\\\\\Rightarrow\ x=4.25$

Hence, the cost of one sandwich is $4.25 and the cost of one cup of coffee is $2.25.