Susanna is going to make some concrete, using cement, sand and gravel, in the ratio 1:3:3.
Nicola wants to make 245kg of concrete. There is 40kg of cement, 110kg sand and 105kg gravel.
Is there enough material to make concrete.
Thank you.
1+3+3 = 7
245/7 = 35
So, multiply the ratios by 35 to see what you need for 245kg of concrete:
35:105:105
Looks like there's enough for the mix.
Thank you so much.
35:105:105 :D:D
To determine if there is enough material to make the concrete, we need to calculate the amount of each material needed for the desired quantity of concrete and compare it to the available quantity of materials.
Given that the ratio of cement:sand:gravel is 1:3:3, we can determine the amount of each material needed by multiplying the ratio by the desired quantity of concrete.
For cement:
Cement needed = (Ratio of cement / Total ratio) * Weight of concrete needed
= (1 / (1+3+3)) * 245kg
= (1/7) * 245kg
= 35kg
For sand and gravel:
Both sand and gravel have the same ratio of 3 in the ratio, so the quantity needed for both will be the same.
Sand and Gravel needed = (Ratio of sand or gravel / Total ratio) * Weight of concrete needed
= (3 / (1+3+3)) * 245kg
= (3/7) * 245kg
= 105kg
Now, let's compare the amounts needed to the available quantities:
Available cement = 40kg
Available sand = 110kg
Available gravel = 105kg
We can see that the available quantities of cement (40kg), sand (110kg), and gravel (105kg) are all greater than or equal to the required quantities (35kg, 105kg). Therefore, there is enough material available to make the desired quantity (245kg) of concrete.
In conclusion, there is enough material available to make the concrete.