Question

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

Answer 1

$100

Step-by-step explanation:

The ratio of food spending to total spending is:

`(80)/(800)`

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:

`(80)/(800)=(x)/(1000)`

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

So, solving for x, we get:

`\begin{gathered} (80)/(800)\cdot1000=(x)/(1000)\cdot1000 \\ 100=x \end{gathered}`

Therefore, he will spend $100 on food.