Carmen likes to make her own trail mix. her recipe calls for 8 cups of peanuts and 2 cups of chocalate chips. she discovers that she only has 4 cups of peanuts in her cupboard. how many cups of chocalate chips does she need for this amount of peanuts? what is the ratio of peanuts to chocalate chips in the original recipe? use counters to model the ratio. draw your model

She will need only 1 cup of chocolate chips.

Ratio: 1 cup of chocolate chips for every 4 cups of peanuts

Step-by-step explanation:

the original recipe calls for 8 cups of peanuts and 2 cups of chocolate chips, but carmen only has half the amount of peanuts needed for the recipe. since the ratio is 1 cup of chocolate chips for ever 4 cups of peanuts, she will only need 1 cup of chocolate since the recipe has been split on half by the lack of peanuts.

step-by-step explanation:

when the line is solid:

when the line is dashed:

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this < inequality sign means:

about the problem:

srry i'm not done ! i'll

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .