At Nancy's Nuttery, it costs $3 for 2 kilograms of peanuts. At this rate, how much does it cost for 14 kilograms of peanuts?
(a) Let C be the unknown cost of peanuts (in dollars). Using the values below, create a proportion that can be used to find c.
Let C be the unknown cost of peanuts (in dollars).
In this case, we can create the following proportion:
$\frac{C}{14} = \frac{3}{2}$
At Nancy's Nuttery, it costs $3 for 2 kilograms of peanuts. At this rate, how much does it cost for 14 kilograms of peanuts?
(b) Use the proportion from part (a) to find the cost of 14 kilograms of peanuts. Do not round any computations
To find the cost of 14 kilograms of peanuts, we can use the proportion:
$\frac{C}{14} = \frac{3}{2}$
Cross multiplying, we get:
$2C = 14(3)$
$2C = 42$
Dividing both sides by 2, we get:
$C = \frac{42}{2}$
Simplifying:
$C = 21$
Therefore, the cost for 14 kilograms of peanuts is $21.
To find the cost of 14 kilograms of peanuts, we can set up the following proportion:
2 kilograms / $3 = 14 kilograms / C
In this proportion, the numerator on the left side represents the number of kilograms, and the denominator on the left side represents the cost in dollars. The numerator on the right side represents the unknown number of kilograms, and the denominator on the right side represents the unknown cost in dollars.
To find the cost of 14 kilograms of peanuts, we can set up a proportion using the given information.
Let C be the unknown cost of peanuts (in dollars).
We know that it costs $3 for 2 kilograms of peanuts.
The proportion can be set up as follows:
3 dollars / 2 kilograms = C dollars / 14 kilograms
To solve this proportion, we can cross-multiply:
(3 dollars) * (14 kilograms) = (2 kilograms) * (C dollars)
42 dollars = 2C dollars
Now, we can solve for C by dividing both sides of the equation by 2:
C = 42 dollars / 2
C = 21 dollars
Therefore, it would cost $21 for 14 kilograms of peanuts at Nancy's Nuttery.