Julia has to mow two yards she will need 13/16 gallon of gas to mow the first yard and 2/5 gallon to mow the second yard she has 1 1/2 gallon of gas in her can does She have enough to mow both yard

Respuesta :

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.