Answer: unit rate for calories per cup = 120
calories in 4 cups of cereal = 480
Solution:
Total number of calories in a box of cereal = x calories
Calories in 3/4 cup serving = 90
How many calories in 4 cups = c
How many calories per cup = x
Unitary method
Cups Calories
3/4 90
1 x
Corss multiply
3/4 * x = 90 * 1
x = 90 * 4/3
x = 120 calories
Now for 4 cups,
Cups calories
1 120
4 c
(Cross multiply)
1 * c = 120 * 4
c = 480 calories answer
Answer:
480
Step-by-step explanation:
Let x be the calories in 4 cups
Set it up
[tex]\frac{90}{\frac{3}{4}}=\frac{x}{4}[/tex]
Step 1: Switch sides
[tex]\frac{x}{4}=\frac{90}{\frac{3}{4}}[/tex]
Step 2: Apply fraction rule
[tex]\frac{x}{4}=\frac{90\cdot \:4}{3}[/tex]
Multiply
[tex]\frac{x}{4}=\frac{360}{3}[/tex]
Divide
[tex]\frac{x}{4}=120[/tex]
Step 3: Multiply both sides by 4
[tex]\frac{4x}{4}=120\cdot \:4\\\\=480[/tex]
There are 480 calories in 4 cups of the cereal.
