Patios can be made by mixing cubic meters of cement, gravel, and stones in the ratio 9:4:6. How much gravel is needed to make 209 cubic meters of patio?
cement : gravel : stones =9:4:6 = 9x : 4x : 6x
9x+4x+6x=209
x = 11
amount of gravel = 4x = 44
1) Patios can be made by mixing cubic meters of cement, gravel, and stones in the ratio 9:4:6. How much gravel is needed to make 209 cubic meters of the patio?
To find the amount of gravel needed to make 209 cubic meters of patio, we need to determine the proportion of gravel in the mixture.
The ratio of gravel to the total mixture is 4 out of (9+4+6) parts, which simplifies to 4/19.
To calculate the amount of gravel needed, we multiply the total volume of the mixture (209 cubic meters) by the proportion of gravel:
Amount of gravel needed = 209 cubic meters × (4/19) = 209 × 4/19
Calculating this gives:
Amount of gravel needed = 43.789 cubic meters
Therefore, approximately 43.789 cubic meters of gravel is needed to make 209 cubic meters of patio.
To find out how much gravel is needed to make 209 cubic meters of patio, we first need to determine the total number of parts in the mixture.
The given ratio of cement, gravel, and stones is 9:4:6.
By adding these parts together, we get a total of 9 + 4 + 6 = 19 parts.
To calculate the amount of gravel needed, we need to find the fraction of the mixture that represents gravel.
The fraction of gravel is given by 4 parts out of the total 19 parts: 4/19.
Next, we multiply this fraction by the total amount of patio needed, which is 209 cubic meters.
Gravel needed = (4/19) * 209 = 44 cubic meters.
Therefore, to make a patio with 209 cubic meters, you will need 44 cubic meters of gravel.