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Answer :
Answer:
1. [tex]16\ onions[/tex]
2. [tex]4,040.91\ kg[/tex]
Step-by-step explanation:
1. You know that the average mass of an onion is 115 grams and Bill needs 4.0 pounds.
Then, since [tex]1\ lb=453.592\ g[/tex], we can make the following conversion:
[tex](4.0\ lb)(\frac{453.592\ g}{1\ lb})=1,814.37\ g[/tex]
Then, the number of onions Bill needs is:
[tex](1,814.37\ g)(\frac{1\ onion}{115\ g})=15.77\ onions[/tex] ≈ [tex]16\ onions[/tex]
2. Since [tex]1\ kg=2.20462\ lb[/tex], we can make the following conversion:
[tex](11\ lb)(\frac{1\ kg}{2.20462\ lb})=4.98\ kg[/tex]
Knowing that all the potatoes sold today at the store bring in $1,420 and 4.98 kilograms of potatoes is $1.75, we can calculate the amount of kilograms the grocery shoppers bought:
[tex](\$1,420)(\frac{4.98\ kg}{\$1.75})=4,040.91\ kg[/tex]
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Final answer:
Bill requires approximately 16 onions for his soup recipe and the grocery shoppers bought around 368 kilograms of potatoes for a total of $1420.
Explanation:
To determine how many onions Bill needs for his soup, you will need to convert pounds to grams since the weight of the onion is given in grams. There are 453.592 grams in a pound, so 4.0 pounds equals 4.0 × 453.592 grams. Therefore:
4.0 pounds × 453.592 grams/pound = 1814.368 grams
Now, divide this by the average mass of one onion:
1814.368 grams ÷ 115 grams/onion = approximately 15.77 onions
Since Bill can't use a fraction of an onion, he needs to round up to the nearest whole number, meaning he requires 16 onions for the soup.
To find out how many kilograms of potatoes were bought for a total of $1420, we first calculate how much one kilogram costs. As there are 2.20462 pounds in a kilogram and 1 pound of potatoes costs $1.75, the cost per kilogram is:
1 kilogram × $1.75/pound × 2.20462 pounds/kilogram = $3.858085
Now, divide the total amount of money spent by the cost per kilogram:
$1420 ÷ $3.858085/kilogram = approximately 368.078 kilograms
The grocery shoppers bought around 368 kilograms of potatoes.
