Sheldon works at the coffee shop every Tuesday and he gets paid $15, plus $0.25 for each cup of coffee he sells. This weekend, he wants to make enough money to purchase a kayak, to go out on the lake. He knows that the kayak will cost $50.75 including tax. How many cups will he need to sell to earn enough to buy the kayak? (please and thank you! -w- )

Sheldon has to sell at least 143 cups of coffee to purchase the kayak.

Step-by-step explanation:

First write an expression:

15 + 0.25x ≥ 50.75

Next use inverse operations:

15 + 0.25x - 15 ≥ 50.75 - 15

0.25x ≥ 35.75

0.25x ÷ 0.25 ≥ 35.75 ÷ 0.25

x ≥ 143

Sheldon has to sell at least 143 cups of coffee to purchase the kayak.

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143 cups

Step-by-step explanation:

Sheldon gets a flat $15, as well as 25 cents for each cup of coffee made.

He needs $50.75 to buy a Kayak.

Set the equation. Let the amount of cups of coffee = c.

0.25c + 15 = 50.75

Isolate the variable, c. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation, and equals:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

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First, subtract 15 from both sides of the equation:

0.25c + 15 = 50.75

0.25c + 15 (-15) = 50.75 (-15)

0.25c = 50.75 - 15

0.25c = 35.75

Next, divide 0.25 from both sides of the equation:

(0.25c)/0.25 = (35.75)/0.25

c = 35.75/0.25

c = 143

Sheldon will need to sell 143 cups of coffee.

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step-by-step explanation: