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)
A. 18.0 cups
B. 0.4 cup
C. 0.8 cup
D. 0.5 cup
The ratio of almonds to chocolate chips is 1/8 cup : 3/4 cup.
To find out how many cups of almonds are needed for 3 cups of chocolate chips, we can set up a proportion:
1/8 cup ÷ 3/4 cup = x ÷ 3 cups
Simplifying the left side of the proportion:
1/8 cup ÷ 3/4 cup = 1/8 cup ÷ 3/4 cup × 4/4
1/8 cup ÷ 3/4 cup = 1/2 cup ÷ 3/4 cup
Simplifying the right side of the proportion:
x ÷ 3 cups = x ÷ 3 cups × 3/3
x ÷ 3 cups = x ÷ 1
Now we have:
1/2 cup ÷ 3/4 cup = x ÷ 1
Cross multiplying:
1/2 cup × 1 = 3/4 cup × x
1/2 cup = 3/4 cup × x
Now we can solve for x by multiplying both sides by 4/3:
(1/2 cup) × (4/3) = (3/4 cup × x) × (4/3)
(1/2) × (4/3) cup = (3/4) × (4/3) cup × x
2/3 cup = x
Rounding to the nearest tenth, x ≈ 0.7 cup.
Therefore, Luis will need approximately 0.7 cups of almonds.
The correct answer is C. 0.8 cup.