Q:

Bob the builder is making 480 kg of concrete mix concrete is made by mixing cement sand and gravel in the ratio 1:3:4 how much does he need

Accepted Solution

A:
Answer:see the explanationStep-by-step explanation:Letx ---> kilograms of cement neededy ----> kilograms of sand neededz ----> kilograms of gravel neededwe 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 factorMultiply 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]