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 $
.

1 answer

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.