Question

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. Does she have enough to mow both yards? Explain.

Answer 1

Answer:

Julia has enough gallons of gas to mow the two yards.

Step-by-step explanation:

The complete question is :

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 gallons of gas in her can. Does she have enough to mow both yards? Explain.

Given:

Julia has to mow 2 yards.

For the first yard she would require $\frac{13}{16}$ gallon of gas.

For second yard she would require $\frac{2}{5}$ gallon of gas.

She has $1\frac{1}{2}$ gallon of gas in her can.

To find if she has enough gas to mow the two yards.

Solution:

In order to find the total gas she would require to mow two yards, we will add the amounts of gas required for each yard.

Total amount of gas required to mow 2 yards is :

⇒ $\frac{13}{16}+\frac{2}{5}$

To add fractions we will need take least common denominator between 16 and 5.

On comparing the multiples of 16 and 5, we find out the least common multiple is 80.

To make the denominators common, we will multiply the numerators and denominators with such a number that gives 80 as denominator.

So, we have:

⇒ $\frac{13\times 5}{16\times 5}+\frac{2\times 16}{5\times 16}$

⇒ $\frac{65}{80}+\frac{32}{80}$

Then, we add the numerators.

⇒ $\frac{97}{80}$

⇒ 1.21 gallons

Julia has $1\frac{1}{2}$ gallons of gas which is = 1.5 gallons.

Since 1.5>1.21, therefore we can say Julia has enough gallons of gas to mow the two yards.