hi...i need help with this question...i will rate ASAP 13) Five hamburgers and o

Question

hi...i need help with this question...i will rate ASAP 13) Five hamburgers and one order of fries together cost$10.24, while one hamburger and five orders of fries together cost$5.84. What is the total cost of three hamburgers and three ordersof fries?
a. $13.50 b. $12.72 c. $8.04 d. $3.30 e. None of the previous choices are correct 13) Five hamburgers and one order of fries together cost$10.24, while one hamburger and five orders of fries together cost$5.84. What is the total cost of three hamburgers and three ordersof fries?
a. $13.50 b. $12.72 c. $8.04 d. $3.30 e. None of the previous choices are correct

Explanation / Answer

let h = hamburgers let f = fries 5h + f = 10.24 h + 5f = 5.84 this system of equations can be solved to find h and f. Multiply the top equation by -5. the system becomes: -25h -5f = -51.2 h + 5f = 5.84 now add the two equations together. -24h = -45.36 divide by -24 to get: h = 1.89 now, pick your favorite of the two equations and plug in yourvalue for h to solve for f: h + 5f = 5.84, using h = 1.89, 1.89 + 5f = 5.84 5f = 3.95 f = .79 so three hamburgers and three fries costs: 3h + 3f = 3*1.89 + 3*.79 = 5.67 + 2.37 = 8.04 answer c

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