Question

mark is buying different nuts to make a mixed nut platter to serve at a party. he buys 1.2 kilograms of peanuts, 300 grams of almonds and 40 dekagrams of cashews. what is the total weight in grams of the nuts he purchased? enter only the number. do not include units.

the solution is

Explanation:

Identify the given values and target unit

Using the Unit Conversion and Dimensional Analysis knowledge points

• Peanuts: \(1.2\text{ kg}\)
• Almonds: \(300\text{ g}\)
• Cashews: \(40\text{ dag}\) (dekagrams)
• Target: Total weight in grams (\(\text{g}\))

Convert kilograms to grams

Using the Unit Conversion knowledge point

$$ 1.2\text{ kg} \times \frac{1000\text{ g}}{1\text{ kg}} = 1200\text{ g} $$

Convert dekagrams to grams

Using the Unit Conversion knowledge point

$$ 40\text{ dag} \times \frac{10\text{ g}}{1\text{ dag}} = 400\text{ g} $$

Sum the weights in grams

Using the Unit Conversion knowledge point

$$ \text{Total} = 1200\text{ g} + 300\text{ g} + 400\text{ g} = 1900\text{ g} $$

Answer:

Mark is buying different nuts to make a mixed nut platter to serve at a party. He buys 1.2 kilograms of peanuts, 300 grams of almonds and 40 dekagrams of cashews. What is the total weight in grams of the nuts he purchased? Enter only the number. Do not include units.

The solution is <blank>1900</blank>