Every \(5 \frac{1}{2}\) cups of flour weighs \(1 \frac{9}{16}\) lbs. Use a unit rate to determine if there are more or less than 35 cups of flour in a 10-pound bag of flour.

There are more than 35 cups of flour in a 10 pound bag of flour ;

Answered by OrethaWilkison | 2024-06-11

We have,
Every 5 1/2 cups of flour **weighs **1 9/16 lbs.
We can set up a **proportion **to find the relationship between cups and pounds:
(5 1/2 cups) / (1 9/16 lbs) = (x cups) / (10 lbs)
To find the unit rate , we divide the numerator and denominator of the first fraction by the whole number part of the mixed number:
(11/2 cups) / (25/16 lbs) = (x cups) / (10 lbs)
(11/2) / (25/16) = x / 10
To solve for x, we can cross-multiply:
(11/2) 10 = (25/16) x
55/1 = (25/16) x
Next, we can **multiply **both sides by the **reciprocal **of (25/16):
(55/1) (16/25) = x
880/25 = x
x = 35.2
Therefore, according to the unit rate , a 10-pound bag of flour would contain 35.2 **cups **of flour.
Learn more about **Proportion **here:
https://brainly.com/question/26974513
#SPJ6

Answered by sheenuvt12 | 2024-06-17

There are more than 35 cups of flour in a 10-pound bag. By calculating the unit rate, we find that 1 pound of flour corresponds to 3.52 cups, and in a 10-pound bag, this totals 35.2 cups. Since 35.2 is greater than 35, it confirms the conclusion.
;

Answered by OrethaWilkison | 2024-09-27