Question

set up an equation that can be used to solve the problem. solve the equation and determine the desired values.

each year, andrea donates a total of $2,000 for scholarships for liberal arts students and business students at her local community college. this year, she wants the amount she donates for liberal arts to be four times the amount she donates for scholarships for business. determine the amount she will donate for each type of scholarship.

the equation is .
(type an equation using x as the variable.)

andrea will donate $ for business scholarships and $ for liberal arts scholarships.

Explanation:

Define the variable and set up the equation

Using the Linear Equations knowledge point
Let \(x\) represent the amount in dollars Andrea donates for business scholarships.
The amount she donates for liberal arts scholarships is four times this amount, which is \(4x\).
The total donation is \$2,000.

$$ x + 4x = 2000 $$

Solve the linear equation

Using the Solving Linear Equations knowledge point

$$
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$$

Calculate the individual donation amounts

Using the Solving Linear Equations knowledge point

$$
LATEXBLOCK1
$$

Answer:

The equation is <blank>\(x + 4x = 2000\)</blank>.
(Type an equation using x as the variable.)

Andrea will donate $400 for business scholarships and $<blank>1600</blank> for liberal arts scholarships.