QuestionA store bought 24 keyboards and 15 chargers for \$120, sold keyboards for \$35 and chargers for \$15. Find profit expression.
Part A: Choose the profit expression. $(24)(35)+(15)(15)-120$
Part B: Explain your choice.
Part C: Calculate the chosen expression's value, showing all steps.

Studdy Solution

STEP 1

Assumptions1. The store bought24 keyboards and15 phone chargers for $120 in total. . Each keyboard was sold for$ 35 and each phone charger for $15.
3. We are looking for the expression that represents the total amount of money the store made.

STEP 2

The total amount of money made by the store can be calculated by subtracting the initial cost from the total selling price. The total selling price is the sum of the selling price of all keyboards and all phone chargers. $Total\, money\, made = (Number\, of\, keyboards \\times Selling\, price\, per\, keyboard) + (Number\, of\, phone\, chargers \\times Selling\, price\, per\, phone\, charger) - Initial\, cost$

STEP 3

From the given options, the expression that matches the formula from2 is $(24)(35)+(15)(15)-120$ This is because the store sold24 keyboards at $35 each and15 phone chargers at$ 15 each, and the initial cost was $120.

STEP 4

Now, we need to calculate the value of the expression. First, calculate the total selling price of the keyboards.
$(24)(35) = \$840$

STEP 5

Next, calculate the total selling price of the phone chargers.
$(15)(15) = \$225$

STEP 6

Add the total selling prices of the keyboards and phone chargers, and subtract the initial cost.
$\$840 + \$225 - \$120 = \$945$ The store made $945.

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