Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

4. laylas monthly income is $3,200. part of her monthly budget is shown…

Question

  1. laylas monthly income is $3,200. part of her monthly budget is shown in the table.
categoryamount of money
groceries600
savings400
car payment700
utilities300

what percentage were savings? _____________
what percent was car payment and utilities? _____________
what percent was spent on rent? ________

Explanation:

Response
First Sub - Question: What percentage were savings?

Step 1: Recall the formula for percentage

The formula to find the percentage of a value is $\text{Percentage}=\frac{\text{Value}}{\text{Total}}\times100\%$, where the total is Layla's monthly income ($3200$) and the value for savings is $400$.

Step 2: Substitute the values into the formula

$\text{Percentage of savings}=\frac{400}{3200}\times 100\%$
First, simplify $\frac{400}{3200}=\frac{1}{8}$. Then, $\frac{1}{8}\times100\% = 12.5\%$

Second Sub - Question: What percent was car payment and utilities?

Step 1: Find the total amount for car payment and utilities

The amount for car payment is $700$ and for utilities is $300$. So the total amount is $700 + 300=1000$.

Step 2: Use the percentage formula

$\text{Percentage}=\frac{\text{Total of car payment and utilities}}{\text{Monthly income}}\times100\%=\frac{1000}{3200}\times 100\%$
Simplify $\frac{1000}{3200}=\frac{5}{16}$. Then, $\frac{5}{16}\times100\%=\frac{500}{16}\% = 31.25\%$

Third Sub - Question: What percent was spent on rent?

Step 1: Use the percentage formula

The amount for rent is $2000$ and the monthly income is $3200$.
$\text{Percentage of rent}=\frac{2000}{3200}\times 100\%$
Simplify $\frac{2000}{3200}=\frac{5}{8}$. Then, $\frac{5}{8}\times100\%=\frac{500}{8}\% = 62.5\%$

Answer:

s:

  • Percentage of savings: $12.5\%$
  • Percentage of car payment and utilities: $31.25\%$
  • Percentage of rent: $62.5\%$