Question

Samantha made goodie bags for Valentines day. They were filled with choclates and candy.The cost of the chochlate was $2.50 per pound and the cost of the candy was $3.oo per pound. Samantha bought 15 pounds of choclate and candy for a total of 40 dollars. How much did Samantha buy

Answer 1

We bought 10 Pounds of Chocolate, and 5 Pounds of Candy.

Explanation:

Hey!

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Let's make a chart!

Lbs Price Cost

Chocolate | x | 2.50 | 2.50x

Candy | 15-x | 3.00 | 3.00(15-x)

Equation:

2.50x + 3.00(15-x) = 40

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⇒ 2.50x + 3.00(15-x) = 40

-Distribute 3 over 15-x

⇒ 2.50x + 45 - 3x =40

-Combine Like Terms

⇒ -0.5x + 45 = 40

-Subtract 45 from both sides.

⇒ -0.5x + 45 = 40

-45 -45

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⇒ -0.5x = -5

-Divide by -0.5 on both sides

⇒ -0.5x/-0.5 = -5/-0.5

⇒ x = 10

That means we bought 10 Pounds of Chocolate.

---------------------------------------------------------------------------------------------------------------Since Candy was 15-x, we can Substitute 10 as x, and Solve:

⇒ 15 - 10

⇒ 5

That means we bought 5 Pounds of Candy.

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We bought 10 Pounds of Chocolate, and 5 Pounds of Candy.

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Hope I Helped, Feel free to ask any questions to clarify :)

Have a great day!

More Love, More Peace, Less Hate.

-Aadi x