A recipe that uses 1/2 pound of almonds makes 5/6 cup of almond butter. Which is reasonable estimate for the amount of almond butter the recipe makes per pound of almonds?
Less than 1 1/2 cup of almond butter
Between 1 1/2 and 2 cups of almond butter
More than 2 cups of almond butter
To find a reasonable estimate for the amount of almond butter the recipe makes per pound of almonds, we can use the given information.
The recipe uses 1/2 pound of almonds and makes 5/6 cup of almond butter.
To find the amount of almond butter per pound of almonds, we can set up a proportion:
(5/6 cup) / (1/2 pound) = (x cups) / (1 pound)
To solve for x, we can cross multiply:
(5/6) * (1 pound) = (1/2) * (x cups)
5/6 = 1/2 * (x cups)
5/6 * 2 = x cups
10/6 = x cups
Simplify the fraction:
5/3 = x cups
So, the reasonable estimate for the amount of almond butter the recipe makes per pound of almonds is between 1 1/2 and 2 cups.
What amount of almond butter does the recipe make per pound of almonds?
To find the amount of almond butter the recipe makes per pound of almonds, we need to calculate the ratio of almond butter to almonds.
The recipe uses 1/2 pound of almonds and makes 5/6 cup of almond butter.
To find the amount of almond butter per pound of almonds, we can set up the proportion:
(5/6 cup) / (1/2 pound) = (x cups) / (1 pound)
Cross multiplying:
(5/6) * (1 pound) = (1/2) * (x cups)
After performing the calculations, we find:
5/6 = (1/2) * (x cups)
To solve for x, we multiply both sides of the equation by 6/5:
x cups = (5/6) * (1/2) * 6/5
x cups = 1/2
Therefore, the recipe makes 1/2 cup of almond butter per pound of almonds.
That was wrong. 5/6|1/2 = 5/6 / 1/2 = 5/6 x 2 =
Apologies for the incorrect response. Let's calculate the correct amount:
(5/6) / (1/2) = (5/6) x (2/1) = (5/6) x (2/1) = 10/6 = 5/3
Therefore, the recipe makes 5/3 cups of almond butter per pound of almonds.
Serena makes 2 1/4 cups of popcorn using 1 1/2 tablespoons of kernels. She wants to know how many tablespoons of kernels to use to make 6 cups of popcorn. Which is a reasonable estimate for the amount of kernels Serena needs to make 5 cups of popcorn?
About 2 tablespoons
About 6 tablespoons
About 4 tablespoons
To find a reasonable estimate for the amount of kernels Serena needs to make 5 cups of popcorn, we can set up a proportion using the given information.
The proportion can be set up as follows:
(2 1/4 cups) / (1 1/2 tablespoons) = (5 cups) / (x tablespoons)
To solve for x, we can cross multiply:
(2 1/4) cups * (x tablespoons) = (1 1/2 tablespoons) * (5 cups)
(9/4) * (x tablespoons) = (3/2) * (5)
(9/4) * (x tablespoons) = (15/2)
To isolate x, we divide both sides by (9/4):
x tablespoons = (15/2) / (9/4)
x tablespoons = (15/2) * (4/9)
x tablespoons = 60/18
x tablespoons = 10/3
Therefore, Serena needs approximately 10/3 tablespoons of kernels to make 5 cups of popcorn. A reasonable estimate for this amount would be about 4 tablespoons.
What amount of kernels does Serena use per cup of popcorn
To find the amount of kernels Serena uses per cup of popcorn, we can set up the ratio using the given information.
Serena makes 2 1/4 cups of popcorn using 1 1/2 tablespoons of kernels.
The ratio can be set up as follows:
(1 1/2 tablespoons) / (2 1/4 cups) = (x tablespoons) / (1 cup)
To solve for x, we can cross multiply:
(1 1/2 tablespoons) * (1 cup) = (x tablespoons) * (2 1/4 cups)
To perform the calculation:
(3/2) tablespoons = (9/4) cups * (x tablespoons)
To isolate x, we divide both sides by (9/4) cups:
x tablespoons = (3/2) tablespoons / (9/4) cups
Multiply the numerator by the reciprocal of the denominator:
x tablespoons = (3/2) tablespoons * (4/9) cups
x tablespoons = 12/18 tablespoons
Simplify the fraction:
x tablespoons = 2/3 tablespoons
Therefore, Serena uses approximately 2/3 tablespoons of kernels per cup of popcorn.