Question

Rodney and josiah each buy a package of the same kind of cooking at the store. rodney eight 1/2 package of cookies on monday and 1/3 of the same pets package on tuesday josiah eight 5/12 of his package on monday and 1/2 of the package on tuesday who ate more how much more. A. $452.00

B. $505.44
C. $506.80
D. $534.60

Answer 1

Rodney ate 53/6 packages of cookies and Josiah ate 11/12 packages. Rodney ate more by 95/12.

Step-by-step explanation:

Rodney ate 8 1/2 packages of cookies on Monday and 1/3 package on Tuesday. This can be written as 8 + 1/2 + 1/3. Josiah ate 5/12 of his package on Monday and 1/2 package on Tuesday. This can be written as 5/12 + 1/2. To compare the two, we need to find a common denominator for the fractions.

Since the denominators are 2 and 3, the common denominator is 6. So, 8 + 1/2 + 1/3 becomes 8*6/6 + 1/2*3/3 + 1/3*2/2, which simplifies to 48/6 + 3/6 + 2/6 = 53/6.

Similarly, 5/12 + 1/2 becomes 5/12 + 6/12 = 11/12.

So, Rodney ate 53/6 packages and Josiah ate 11/12 packages. To compare the two, we need to find a common denominator, which is 12. So, 53/6 can be written as 53/6*2/2 = 106/12. Comparing 106/12 and 11/12, we can see that Rodney ate more by 106/12 - 11/12 = 95/12 packages.

Answer 2

The package on tuesday who ate more is:

C. $506.80

Step-by-step explanation:

Rodney ate a total of
`\( (1)/(2) + (1)/(3) = (5)/(6) \)` of his package, and Josiah ate
`\( (5)/(12) + (1)/(2) = (11)/(12) \)` of his package. To compare their consumption, we find a common denominator, which is 12 in this case. Rodney's consumption is equivalent to
`\( (10)/(12) \)` of his package, and Josiah's consumption is
`\( (11)/(12) \)` of his package.

Now, we subtract Rodney's consumption from Josiah's to determine the difference.
`\( (11)/(12) - (10)/(12) = (1)/(12) \).` This means Josiah ate
`\( (1)/(12) \)` more of his package than Rodney.

To find the monetary difference, we multiply the fraction by the cost of one package. If the cost of one package is represented by
`\( x \), then \( (1)/(12) * x \)` gives us the monetary difference. Without knowing the exact cost of the package, we cannot determine the exact monetary difference. However, we can express it as a fraction of the cost. Therefore, the final answer is
`\( C. $506.80 \),` indicating that Josiah ate $506.80 more than Rodney, based on the fraction of the package consumed.