Xavier created the circle graph below to show how he plans to allocate $800 on a vacation next month.Vacation ($800)Souvenirs$200Food$80Entertainment$248Lodging$272If Xavier instead spends $1,000, and the ratio of food spending to total spending stays the same, how muchmoney will he spend on food?O $100$180$120$140

Respuesta :

Answer:

$100

Explanation:

The ratio of food spending to total spending is:

[tex]\frac{80}{800}[/tex]

Because he plans to spend $80 for food from the $800.

Then, if this ratio is constant, we can calculate how much money will he spend on food using the following equation:

[tex]\frac{80}{800}=\frac{x}{1000}[/tex]

Where x is spending on food when the total spending is $100.

So, solving for x, we get:

[tex]\begin{gathered} \frac{80}{800}\cdot1000=\frac{x}{1000}\cdot1000 \\ 100=x \end{gathered}[/tex]

Therefore, he will spend $100 on food.