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

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

Step-by-step explanation:

Hey!

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

⇒ 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

⇒ -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.

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

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

Have a great day!

More Love, More Peace, Less Hate.

       -Aadi x

step-by-step explanation:

you can add the two numbers and divide the result by 2. or you can find the gap between the two numbers and add half of this to the smaller number.