Question

q. deandre spends \\$45.86 at the grocery store. he pays with a \\$50 bill. let \\(c\\) equal his change. which equation could be used to find the amount of change deandre receives?

a. \\(\\$45.86 - c = \\$50\\)
b. \\(c - \\$50 = \\$45.86\\)
c. \\(\\$45.86 + c = \\$50\\)
d. \\(\\$45.86 + \\$50 = c\\)

Explanation:

Identify the given values and variables

Using the Translating Word Problems knowledge point

• Amount spent: \(\$45.86\)
• Amount paid: \(\$50\)
• Change received: \(c\)

Relate the quantities mathematically

Using the Translating Word Problems and Linear Equations with Decimals knowledge points

$$ \text{Amount spent} + \text{Change received} = \text{Total amount paid} $$

$$ 45.86 + c = 50 $$

Match with the given options

Using the Translating Word Problems knowledge point

• Option A: \(45.86 - c = 50\) (Incorrect)
• Option B: \(c - 50 = 45.86\) (Incorrect)
• Option C: \(45.86 + c = 50\) (Correct)
• Option D: \(45.86 + 50 = c\) (Incorrect)

Answer:

• (A) \(\$45.86 - c = \$50\)
• (B) \(c - \$50 = \$45.86\)
• (C) \(\$45.86 + c = \$50\) (Correct answer)
• (D) \(\$45.86 + \$50 = c\)