Answer :
Sure! Let's solve these problems step by step using the given conversion rates.
Problem 2: Convert 15 ounces to grams
We know from the given information that 3 ounces is approximately 85 grams.
To find out how many grams are in 1 ounce, we can set up a proportion:
[tex]\[ \frac{3 \text{ ounces}}{85 \text{ grams}} = \frac{1 \text{ ounce}}{x \text{ grams}} \][/tex]
By cross-multiplying to solve for [tex]\( x \)[/tex], we get:
[tex]\[ x = \frac{85 \text{ grams}}{3 \text{ ounces}} \][/tex]
This tells us that 1 ounce is approximately [tex]\(\frac{85}{3}\)[/tex] grams.
Now, to find the number of grams in 15 ounces, we multiply:
[tex]\[ 15 \text{ ounces} \times \frac{85}{3} \text{ grams/ounce} = 425 \text{ grams} \][/tex]
So, 15 ounces is approximately 425 grams.
Problem 3: Convert 20 kilograms to pounds
From the information provided, we know:
11 pounds is approximately 5 kilograms.
To find out how many kilograms are in 1 pound, we can set up a proportion:
[tex]\[ \frac{11 \text{ pounds}}{5 \text{ kilograms}} = \frac{1 \text{ pound}}{y \text{ kilograms}} \][/tex]
By cross-multiplying to solve for [tex]\( y \)[/tex], we get:
[tex]\[ y = \frac{5 \text{ kilograms}}{11 \text{ pounds}} \][/tex]
This tells us that 1 pound is approximately [tex]\(\frac{5}{11}\)[/tex] kilograms.
However, we need to convert in the opposite direction (kilograms to pounds), which means 1 kilogram is approximately [tex]\(\frac{11}{5}\)[/tex] pounds.
Now, to find the number of pounds in 20 kilograms, we multiply:
[tex]\[ 20 \text{ kilograms} \times \frac{11}{5} \text{ pounds/kilogram} = 44 \text{ pounds} \][/tex]
Therefore, 20 kilograms is approximately 44 pounds.
Problem 2: Convert 15 ounces to grams
We know from the given information that 3 ounces is approximately 85 grams.
To find out how many grams are in 1 ounce, we can set up a proportion:
[tex]\[ \frac{3 \text{ ounces}}{85 \text{ grams}} = \frac{1 \text{ ounce}}{x \text{ grams}} \][/tex]
By cross-multiplying to solve for [tex]\( x \)[/tex], we get:
[tex]\[ x = \frac{85 \text{ grams}}{3 \text{ ounces}} \][/tex]
This tells us that 1 ounce is approximately [tex]\(\frac{85}{3}\)[/tex] grams.
Now, to find the number of grams in 15 ounces, we multiply:
[tex]\[ 15 \text{ ounces} \times \frac{85}{3} \text{ grams/ounce} = 425 \text{ grams} \][/tex]
So, 15 ounces is approximately 425 grams.
Problem 3: Convert 20 kilograms to pounds
From the information provided, we know:
11 pounds is approximately 5 kilograms.
To find out how many kilograms are in 1 pound, we can set up a proportion:
[tex]\[ \frac{11 \text{ pounds}}{5 \text{ kilograms}} = \frac{1 \text{ pound}}{y \text{ kilograms}} \][/tex]
By cross-multiplying to solve for [tex]\( y \)[/tex], we get:
[tex]\[ y = \frac{5 \text{ kilograms}}{11 \text{ pounds}} \][/tex]
This tells us that 1 pound is approximately [tex]\(\frac{5}{11}\)[/tex] kilograms.
However, we need to convert in the opposite direction (kilograms to pounds), which means 1 kilogram is approximately [tex]\(\frac{11}{5}\)[/tex] pounds.
Now, to find the number of pounds in 20 kilograms, we multiply:
[tex]\[ 20 \text{ kilograms} \times \frac{11}{5} \text{ pounds/kilogram} = 44 \text{ pounds} \][/tex]
Therefore, 20 kilograms is approximately 44 pounds.
