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.(1 point)
Responses
A. 0.5 cup
B. 0.4 cup
C. 0.8 cup
D. 18.0 cups
To determine how many cups of almonds Luis will need, we need to use the ratio given in the recipe: 1/8 cup of almonds for every 3/4 cup of chocolate chips.
First, calculate the ratio of almonds to chocolate chips:
1/8 cup almonds / 3/4 cup chocolate chips
To calculate this ratio, divide 1/8 by 3/4:
(1/8) ÷ (3/4) = (1/8) * (4/3) = 4/24 = 1/6
So the ratio of almonds to chocolate chips is 1/6.
Next, use this ratio to determine the cups of almonds needed for 3 cups of chocolate chips:
(3 cups chocolate chips) * (1/6) = 3/6 = 1/2
Therefore, Luis will need 0.5 cup of almonds.
The answer is: A. 0.5 cup
Lisa adds 2 tsp baking soda to 6 lbs. of flour. How much baking soda should she add to 9 Ibs. of flour?
A. 3 tsp
B. 18 tsp
C. 27 tsp
D. 9 tsp
To solve this problem, we can set up a proportion.
Let x be the amount of baking soda needed for 9 pounds of flour.
2 tsp baking soda / 6 lbs flour = x tsp baking soda / 9 lbs flour
To solve for x, we can cross multiply:
2 * 9 = 6 * x
18 = 6x
To isolate x, we can divide both sides of the equation by 6:
18 / 6 = x
3 = x
Therefore, Lisa should add 3 teaspoons of baking soda to 9 pounds of flour.
The answer is A. 3 tsp.
Lenny is making his own laundry soap. The recipe calls for 2 parts borax, 2 parts washing soda, and 1 part soap flakes. If Lenny uses 7 cups of soap flakes, how many cups of borax and washing soda combined does he need? (1 point)
A. 14 cups
B. 28 cups
C. 21 cups
D. 7 cups
Use proportional relationships to solve this mixture problem. The incoming 6th-grade class has a choice between band or choir as an elective. There are four times as many seats in choir as there are in band.
How many students can choose band if there is a total of 250 students? (1 point)
A. 200 students
B. 50 students
C. 124 students
D. 250 students
Let x be the number of seats in the band.
According to the problem, there are four times as many seats in the choir as there are in the band. This means that the number of seats in the choir is 4x.
The total number of students is 250, which means that the number of students choosing band plus the number of students choosing choir is equal to 250.
Therefore, x + 4x = 250
Combining like terms, we get 5x = 250
Dividing both sides by 5, we get x = 50
Therefore, there are 50 students who can choose band.
The answer is B. 50 students.
Carla needs to complete her science homework. She has 20 pages to read and 14 questions to answer. If it takes Carla 10 minutes to read 4 pages, how many minutes will it take her to read the full assignment?
A. 50 minutes
B. 35 minutes
C. 9 minutes
D. 85 minutes
To find out how long it will take Carla to read the full assignment, we can first determine how many sets of 4 pages are in 20 pages.
20 pages / 4 pages = 5 sets of 4 pages
If it takes Carla 10 minutes to read 4 pages, then it will take her:
10 minutes/set * 5 sets = 50 minutes
Therefore, it will take Carla 50 minutes to read the full assignment.
The answer is A. 50 minutes.
The ratio of borax to washing soda to soap flakes is 2:2:1.
If Lenny uses 7 cups of soap flakes, then he will need 2 parts borax and 2 parts washing soda.
To calculate how many cups of borax and washing soda combined Lenny needs, we can set up the following proportion:
2 parts borax + 2 parts washing soda = 7 cups soap flakes
2x + 2x = 7
4x = 7
x = 7/4
x = 1.75
Therefore, Lenny needs 1.75 cups of both borax and washing soda combined.
Rounded to the nearest whole number, Lenny needs 2 cups of borax and 2 cups of washing soda combined.
The answer is D. 7 cups.
The ratio of almonds to chocolate chips is 1/8 cup of almonds for every 3/4 cup of chocolate chips. To find out how many cups of almonds Luis will need, we need to set up a proportion.
Let x be the number of cups of almonds Luis will need.
x/3 = 1/8
To solve for x, we cross multiply:
8x = 3
x = 3/8
x ≈ 0.375
Rounding to the nearest tenth, Luis will need approximately 0.4 cups of almonds.
Therefore, the answer is B. 0.4 cup.