Question

Landon has $
each month for savings and $
each month for charity.

(b)
This month Landon spends
$
375
$375 on entertainment and
$
600
$600 on food. What percent of his monthly income does he spend on these items?



Landon spent
% of his income on entertainment and
% of his income on food.

(c)
Landon’s monthly housing costs for his new home will be
$
1925
$1925 per month. What must his monthly net income be to keep housing as
35
%
35% of his budget?



Landon’s net monthly income must be $
.

Answer 1

To find multiple answers based on your descriptions, let's break them down step by step.

**(b) Percentage of Monthly Income Spent on Entertainment and Food**

Let's denote Landon's total monthly income as \( I \).

1. Landon spends \( 375 \) on entertainment and \( 600 \) on food.
2. The total spent on entertainment and food is:
\[
375 + 600 = 975
\]
3. Now, we need to find the percentage of his income that is spent on these items:
\[
\text{Percentage spent} = \left( \frac{975}{I} \right) \times 100
\]

We don't have a numerical value for \( I \), but you can substitute \( I \) with Landon's monthly income once it's provided.

#### For percentages:
- The percentage spent on entertainment is:
\[
\text{Percentage on entertainment} = \left( \frac{375}{I} \right) \times 100
\]
- The percentage spent on food is:
\[
\text{Percentage on food} = \left( \frac{600}{I} \right) \times 100
\]

**(c) Required Monthly Income to Keep Housing Costs as 35%**

Landon's monthly housing costs are \( 1925 \), and he wants this to be 35% of his budget. Let \( J \) be Landon's required monthly net income.

1. To find \( J \), we set up the equation:
\[
0.35J = 1925
\]
2. Solve for \( J \):
\[
J = \frac{1925}{0.35}
\]
\[
J = 5500
\]

Thus, Landon’s net monthly income must be **$5500** to keep his housing costs at **35%** of his budget.

---

In summary:
(b)
- Total percentage spent on entertainment and food is \( \frac{975}{I} \times 100 \).
- Percentage on entertainment: \( \frac{375}{I} \times 100 \).
- Percentage on food: \( \frac{600}{I} \times 100 \).

(c) Landon’s net monthly income must be **$5500**.