Three-part Question Writing Inequalities

Question

Three-part Question Writing Inequalities

Part A. Marcy needs to wash her laundry. If each load of laundry, x, at the laundromat requires 7 quarters to wash and dry, write an expression that represents how many quarters Marcy will need to wash and dry x-number of loads of laundry.
Part B. If Marcy has $8.75 worth of quarters in her pocket, how many quarters does she have available to use at the laundromat?
Part C. Use your answer from Part B to write an inequality that represents how many loads of laundry Marcy can wash and dry. Explain how you got your answer.

Answer 1

7x

8.75/.25 = 35

Answer 2

Part A: The expression that represents how many quarters Marcy will need to wash and dry x-number of loads of laundry can be written as:

7x

Here, x represents the number of loads of laundry, and since each load requires 7 quarters, multiplying the number of loads (x) by 7 gives us the total number of quarters needed.

Part B: Marcy has $8.75 worth of quarters in her pocket. To determine the number of quarters she has, divide the total value by the value of a single quarter. Since each quarter is worth $0.25, the number of quarters can be found as:

$8.75 ÷ $0.25 = 35 quarters

Therefore, Marcy has 35 quarters available to use at the laundromat.

Part C: The inequality that represents how many loads of laundry Marcy can wash and dry can be written as:

7x ≤ 35

Here, x represents the number of loads of laundry, and since each load requires 7 quarters, multiplying the number of loads by 7 gives us the total number of quarters needed. Since Marcy has 35 quarters available, we can set up the inequality to show that the total number of quarters needed (7x) should be less than or equal to the number of quarters available (35).

Answer 3

Part A: To determine how many quarters Marcy will need to wash and dry x-number of loads of laundry, we need to multiply the number of loads (x) by the number of quarters required per load (7). Hence, the expression that represents this is:

Number of quarters = 7x

Part B: If Marcy has $8.75 worth of quarters in her pocket, we need to determine how many quarters that is in total. Since each quarter is worth $0.25, we can divide the total amount Marcy has by the value of each quarter to find the number of quarters available. Therefore, the calculation is as follows:
Number of quarters = $8.75 / $0.25 = 35 quarters

Part C: To write an inequality that represents how many loads of laundry Marcy can wash and dry, we need to consider the number of quarters she has available. Since each load requires 7 quarters, we can divide the total number of quarters Marcy has by 7 to determine the maximum number of loads she can wash and dry. If we let L represent the maximum loads, the inequality can be expressed as:
L ≤ (Number of quarters Marcy has) / 7 = 35 / 7 = 5

Therefore, the inequality that represents the maximum number of loads Marcy can wash and dry is L ≤ 5. This means that Marcy can wash and dry a maximum of 5 loads of laundry.