Answer:
We bought 10 Pounds of Chocolate, and 5 Pounds of Candy.
Step-by-step 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
