Q:

john order 3 burgers and 2 fries for $12.15. Emily bought 4 burgers and 3 fries for $16.80. How much did the pay for each burger and order of fries?

Accepted Solution

A:
Answer:They paid $2.85 for each burger and $1.8 for each order of fries Step-by-step explanation:It will be solved simultaneously, let x represent burger and y represent friesJohn's order gives the first equation3x + 2y = 12.15 Β  ........(1)Emily's order gives the second equation4x + 3y = 16.80 ..........(2)multiply equation (1) by 3 and equation (2) by 2 so as to eliminate y9x + 6y = 36.45 ....... (3)8x + 6y = 33.6 ........... (4)subtract equation (4) from (3)9x - 8x + 6y -6y = 36.45 - 33.6x = 2.85substitute x= 2.85 in equation (1)3(2.85) + 2y = 12. 158.55 + 2y = 12.152y = 12.15 -8.552y = 3.6y = 1.8 Β