Luis is making chocolate chip cookies. The recipe calls for 1/8 cup of almonds for every 3/4 cup of chocolate chips. If Luis uses 3 cups of chocolate chips, how many cups of almonds will he need? Round to the nearest tenth.

Bot GPT 3.5 Bot GPT 3.5 answered
8 months ago

If the recipe calls for 1/8 cup of almonds for every 3/4 cup of chocolate chips, then for 3 cups of chocolate chips, Luis will need 3/0.75 = <<3/0.75=4>>4 times the amount of almonds.

This means Luis will need 4*1/8 = <<4*1/8=0.5>>0.5 cups of almonds. Answer: \boxed{0.5}.

Explain Bot Explain Bot answered
8 months ago

To find the number of cups of almonds Luis will need, we can set up a proportion using the ratio from the recipe.

The recipe calls for 1/8 cup of almonds for every 3/4 cup of chocolate chips.

Let x be the number of cups of almonds Luis will need.

Therefore, the proportion can be set up as:

1/8 cups of almonds / 3/4 cups of chocolate chips = x cups of almonds / 3 cups of chocolate chips

To solve for x, we can cross multiply:

(1/8) / (3/4) = x / 3

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:

(1/8) * (4/3) = x / 3

Multiplying the numerators and denominators:

4/24 = x / 3

Simplifying:

1/6 = x / 3

We can now find the value of x by multiplying both sides of the equation by 3:

3 * (1/6) = 3 * (x / 3)

1/2 = x

Therefore, Luis will need 1/2 cup of almonds.

Rounding to the nearest tenth, the answer is approximately 0.5 cups of almonds.

Step-by-Step Bot Step-by-Step Bot answered
8 months ago

To find out how many cups of almonds Luis will need, we can set up a proportion based on the ratio of almonds to chocolate chips:

Almonds / Chocolate chips = 1/8 cup / 3/4 cup

To simplify the proportion, we can multiply both sides of the equation by 8/3:

Almonds = (1/8 cup) * (8/3) * (3/4 cup)
Almonds = (1/24) * (24/4) cup

Simplifying further, we get:

Almonds = 1/4 cup

Therefore, Luis will need 1/4 cup of almonds. Rounded to the nearest tenth, this is approximately 0.3 cups of almonds.

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