Jackie goes to the store to buy some meat. The meat costs $5.80/kg. How many grams of meat could she buy for $10?
is there an easy way to do this? I did a few others like it, but kg and grams is not as easy
The metric system is amazingly easy.
In this case all you have to remember that the prefix kilo means 1000
(e.g. 1 km = 1000 m, 1 kg = 1000 grams)
so for $10 Jackie can buy 10/5.8 kg
= 1.724 kg
= 1742 grams
In the US, a similar question might be
"Jackie goes to the store to buy some meat. The meat costs $3.80 per pound. How many ounces of meat could she buy for $10? "
- a much more complicated question.
Thank you. Why don't we use just one system, it would make things so easy!
To solve this problem, we need to convert between kilograms (kg) and grams (g).
First, we know that the meat costs $5.80 per kilogram. Therefore, for every kilogram, Jackie will spend $5.80.
To find out how many kilograms Jackie can buy with $10, divide the total amount she can spend by the price per kilogram:
$10 ÷ $5.80/kg ≈ 1.7241 kg
Now that we know how many kilograms Jackie can buy, we can convert this value into grams. Since there are 1000 grams in 1 kilogram, multiply the kilogram value by 1000 to convert it to grams:
1.7241 kg × 1000 g/kg = 1724.1 g
Thus, Jackie could buy approximately 1724.1 grams of meat for $10.
To simplify the process, you can also use unit conversion directly. Instead of converting $10 to kilograms and then kilograms to grams, you can convert $10 to grams in a single step:
$10 × 1000 g/kg ÷ $5.80/kg ≈ 1724.1 g
This way, you skip the intermediate conversion to kilograms and directly find the result in grams.
I hope this explanation helps! Let me know if you have any further questions.