Answer:
see the explanation
Step-by-step explanation:
Let
x ---> kilograms of cement needed
y ----> kilograms of sand needed
z ----> kilograms of gravel needed
we know that
[tex]x:y:z=1:3:4[/tex] ----> [tex]x+y+z=1+3+4=8[/tex]
[tex]x+y+z=480\ kg[/tex]
Divide 480 by 8
[tex]480/8=60[/tex] ----> scale factor
Multiply the scale factor by the ratio [tex]1:3:4[/tex]
Find out the kilograms of cement needed
[tex]60(1)=60\ kg[/tex]
Find out the kilograms of sand needed
[tex]60(3)=180\ kg[/tex]
Find out the kilograms of gravel needed
[tex]60(4)=240\ kg[/tex]
Bob the builder is making 480 kg of concrete mix concrete is made by mixing cement sand and gravel in a ratio of 1:3:4 is 60kg:180kg:240kg.
We have given
Bob the builder is making 480 kg, The ratio 1:3:4
Let, x -kilograms of cement needed
y -kilograms of sand needed
z - kilograms of gravel needed
we know that
x:y:z=1:3:4
x+y+z=1+3+4=8
x+y+z=480Kg
Divide 480 by 8
A scale factor is a number that multiplies a quantity.
For example, the C in y = Cx is the scale factor for x.
480/8=60....... scale factor
Multiply the scale factor by the ratio of 1:3:4.
Find out the kilograms of cement needed
60(1)=60kg
Find out the kilograms of sand needed
60(3)=180kg
Find out the kilograms of gravel needed
60(4)=240kg.
Therefore, Bob the builder is making 480 kg of concrete mix concrete is made by mixing cement sand and gravel in a ratio of 1:3:4 is 60kg:180kg:240kg.
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