Answer:
Julia has enough gas to mow the two yards.
Step-by-step explanation:
Given:
Julia needs [tex]\frac{13}{16}[/tex] gallon of gas to mow first yard.
Julia needs [tex]\frac{2}{5}[/tex] gallon of gas to mow second yard.
Julia has a total of [tex]1\frac{1}{2}[/tex] gallon of gas in in her can.
To find whether she has enough to mow both yards.
Solution:
Total gallons of gas needed to mow two yards can be found out by :
⇒ [tex]\frac{13}{16}+\frac{2}{5}[/tex]
Taking LCD =80.
⇒ [tex]\frac{13\times 5}{16\times 5}+\frac{2\times 16}{5\times 16}[/tex]
⇒ [tex]\frac{65}{80}+\frac{32}{80}[/tex]
Adding the numerators.
⇒ [tex]\frac{97}{80}[/tex]
⇒ 1.2125 gallons
Julia has [tex]1\frac{1}{2}[/tex] gallon = 1.5 gallons of gas in in her can.
Since [tex]1.5>1.21[/tex] , thus we can say that Julia has enough gas to mow the two yards.