A hybrid car averages 606 miles on a 12.5 gallon tank of gas. Manuel is planning a 1260-mile vacation in his hybrid car, how many gallons of gas he can expect to burt Manuel needs approximately gallons of gas for his vacation?

Question

Kennedy Adams · Accepted Answer

Manuel needs approximately 26 gallons of gas for his vacation.

Determine the hybrid vehicle's "mpg" (miles per gallon). This can be solved as a Ratio&Proportion problem #(m) / (gallon)# = #(606)/12.5# = #(m)/1# Find the m (miles) solution. Based on the formula 606 ÷ 12.5 = 48.48, the hybrid vehicle achieves approximately 48.5 mpg. Determine how many gallons are needed to travel 1260 miles at 48.5 miles per gallon; this equals roughly 26 gallons. Check by estimating: The vacation will cover approximately 1200 miles, which is double the amount of miles provided. Consequently, the gas tank should hold 24 gallons, as the car uses about 12 gallons to travel 600 miles. The estimate is pretty close to the actual answer, so it's probably accurate.

Eli Assouline · Answer

#26# gallons of gas

#606# miles on #12.5# #gallons# of gas #:.1260# miles#=cancel1260^210/cancel606^101xx12.5/1# #:.(210xx12.5)/101# #:.2625/101# #:.=26 # gallons of gas to the nearest gallon ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Verify: #:.1260# miles#=26 # gallons of gas #:.606# miles#= cancel606^101/cancel1260^210xx26/1# #:.(101xx26)/210# #:.2626/210# #:.12.5# gallons of gas to the nearest gallon

Isaiah Anthony · Answer

undefined Manuel needs approximately 26.25 gallons of gas for his vacation.