How do you determine how far Doris can travel is Doris’s truck gets #10 \frac{2}{3}# miles per gallon and her tank has #5 \frac{1}{2}# gallons of gas?

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Answer 1 · 2014-09-28T22:30:33

Doris' truck has mileage 10 #2/3# miles per gallon of gas, which can be written as #32/3# miles per gallon of gas.

Doris can drive #32/ 3# miles using one gallon of gas.

Doris has 5 #1/2# gallons of gas.

On 1 gallons she can drive #32/3 # miles/ gallon

On 5 gallons she can drive ( #32/3 # ) miles / gallon x 5 gallon

= #(160/3)# mile

On 1 gallons she can drive #32/3 # miles/ gallon

On half a gallon she can drive ( #32/3 # ) miles / gallon x 0.5 gallon

= (32 x 0.5 ) / 3 = #(16 /3)# miles.

on 5 #1/2# gallons of gas she can travel #(160/3)# mile + #(16 /3)#mile.

#(160 + 16 )/ 3 #= # 176 /3 # = 58.67 mile.