Todd is moving sand from his driveway to the backyard. The wheelbarrow weighs 30 kilograms when it is full of sand. When it is empty, it weighs 12 kilograms. How many grams of sand did Todd move if he filled and emptied the wheelbarrow five times?
answer:210,000 grams
Is it right or wrong?
thanks.
sand = 30 - 12 kg = 18 kg per load
Now, he did this 5 times
amount of sand moved = 5(18) = 90 kg
= 90000 g , since 1 kg = 1000 g (kilo --> thousand)
30 kg -12kg=18 kg
18kg*5loads=90kgs of sand
1kg= 1000grams
90,000grams of sand
To calculate the weight of sand Todd moved, we need to find the weight of the sand in the wheelbarrow when it is full.
The weight of the sand is the difference between the weight of the full wheelbarrow and the weight of the empty wheelbarrow.
Weight of sand in the wheelbarrow = weight of full wheelbarrow - weight of empty wheelbarrow
= 30 kg - 12 kg
= 18 kg
Now we know that Todd filled and emptied the wheelbarrow five times.
Total weight of sand moved = weight of sand in one wheelbarrow * number of times filled and emptied
= 18 kg * 5
= 90 kg
However, we need to convert kilograms to grams.
Total weight of sand moved = 90 kg * 1000 g/kg
= 90,000 g
Therefore, the correct answer is 90,000 grams.
Apologies for the incorrect previous answer.
The given answer, 210,000 grams, is incorrect. The correct answer can be found by subtracting the weight of the empty wheelbarrow from the weight of the full wheelbarrow to determine the weight of the sand. Then, multiplying that weight by the number of times the wheelbarrow was filled and emptied will give us the total weight of the sand moved.
To calculate the weight of the sand in each wheelbarrow, we subtract the weight of the empty wheelbarrow (12 kilograms) from the weight of the full wheelbarrow (30 kilograms):
Weight of sand = Weight of full wheelbarrow - Weight of empty wheelbarrow
Weight of sand = 30 kilograms - 12 kilograms
Weight of sand = 18 kilograms
Now, to find the total weight of sand moved in 5 wheelbarrow loads, we multiply the weight of one load by the number of loads:
Total weight of sand = Weight of sand per load x Number of loads
Total weight of sand = 18 kilograms x 5
Total weight of sand = 90 kilograms
Finally, we need to convert kilograms to grams. Since there are 1,000 grams in a kilogram, we multiply the weight in kilograms by 1,000 to get the weight in grams:
Total weight of sand in grams = Total weight of sand in kilograms x 1,000
Total weight of sand in grams = 90 kilograms x 1,000
Total weight of sand in grams = 90,000 grams
Therefore, the correct answer is 90,000 grams, not 210,000 grams.