Answer :
Sure, let's solve this problem step-by-step!
Mr. Ramirez originally has a total of 32 ounces of meat, which includes both pork and beef. From the given information, we know that the amounts of pork and beef are 8 ounces and 24 ounces, respectively.
To find out how many ounces of pork and beef he would need for a meatloaf with 40 ounces of total meat, follow these steps:
1. Calculate the Ratio of Pork and Beef:
- Pork has 8 ounces out of the total 32 ounces of meat. So, the ratio of pork is [tex]\( \frac{8}{32} \)[/tex].
- Beef has 24 ounces out of the total 32 ounces of meat. So, the ratio of beef is [tex]\( \frac{24}{32} \)[/tex].
2. Apply the Ratios to a 40-Ounce Meatloaf:
- First, we'll find out how many ounces of pork are needed for a 40-ounce meatloaf. Multiply the pork ratio by 40:
[tex]\[
\text{Ounces of pork} = \left(\frac{8}{32}\right) \times 40 = 10 \text{ ounces}
\][/tex]
- Similarly, for beef, multiply the beef ratio by 40:
[tex]\[
\text{Ounces of beef} = \left(\frac{24}{32}\right) \times 40 = 30 \text{ ounces}
\][/tex]
Therefore, Mr. Ramirez would need 10 ounces of pork and 30 ounces of beef to make a meatloaf that weighs 40 ounces in total.
Mr. Ramirez originally has a total of 32 ounces of meat, which includes both pork and beef. From the given information, we know that the amounts of pork and beef are 8 ounces and 24 ounces, respectively.
To find out how many ounces of pork and beef he would need for a meatloaf with 40 ounces of total meat, follow these steps:
1. Calculate the Ratio of Pork and Beef:
- Pork has 8 ounces out of the total 32 ounces of meat. So, the ratio of pork is [tex]\( \frac{8}{32} \)[/tex].
- Beef has 24 ounces out of the total 32 ounces of meat. So, the ratio of beef is [tex]\( \frac{24}{32} \)[/tex].
2. Apply the Ratios to a 40-Ounce Meatloaf:
- First, we'll find out how many ounces of pork are needed for a 40-ounce meatloaf. Multiply the pork ratio by 40:
[tex]\[
\text{Ounces of pork} = \left(\frac{8}{32}\right) \times 40 = 10 \text{ ounces}
\][/tex]
- Similarly, for beef, multiply the beef ratio by 40:
[tex]\[
\text{Ounces of beef} = \left(\frac{24}{32}\right) \times 40 = 30 \text{ ounces}
\][/tex]
Therefore, Mr. Ramirez would need 10 ounces of pork and 30 ounces of beef to make a meatloaf that weighs 40 ounces in total.
