#12 solve problems using data task cards\nnoah created a circle graph to represent his monthly budget. the…

#12 solve problems using data task cards\nnoah created a circle graph to represent his monthly budget. the amount he budgets for rent is $840. if this amount increases by $42, how much will the new amount for total budget increase to keep the ratio of rent to total budget the same?\nmonthly budget

#12 solve problems using data task cards\nnoah created a circle graph to represent his monthly budget. the amount he budgets for rent is $840. if this amount increases by $42, how much will the new amount for total budget increase to keep the ratio of rent to total budget the same?\nmonthly budget

Answer

Explanation:

Step1: Find the original percentage of rent

From the pie - chart, the percentage of rent is 21%. Let the original total budget be $x$. We know that 21% of $x$ is $840$, so $0.21x = 840$. Solving for $x$, we get $x=\frac{840}{0.21}=4000$.

Step2: Calculate the new rent amount

The new rent amount is $840 + 42=882$.

Step3: Let the new total budget be $y$

Since the ratio of rent to total budget remains the same, and the percentage of rent is still 21%, we have $0.21y = 882$. Solving for $y$, we get $y=\frac{882}{0.21}=4200$.

Step4: Calculate the increase in total budget

The increase in total budget is $4200 - 4000 = 200$.

Answer:

200