mr kim mixes cement&sand to make a mixture.he uses 2 pails of cement for every 5 pails of sand.
a) if he uses 24 pails of cement,how many pails of sand does he use?
b) if he uses 35 pails of sand,how many pails of cement does he use?
cement -- 2x pails
sand --- 5x pails , notice 2x : 5x = 2:5
given: 2x = 24 ---> x = 12
so sand = 5x = 5(12) = 60 pails
do b) the same way ...
5x = 35
etc
It should be 14
To solve these problems, we can set up a proportion using the given information to find the unknown variable.
a) If Mr. Kim uses 2 pails of cement for every 5 pails of sand, and he uses 24 pails of cement, we can set up the proportion as follows:
2/5 = 24/x
To cross multiply, we have:
2 * x = 5 * 24
2x = 120
Dividing both sides of the equation by 2, we get:
x = 60
Therefore, Mr. Kim uses 60 pails of sand.
b) If Mr. Kim uses 2 pails of cement for every 5 pails of sand, and he uses 35 pails of sand, we can set up the proportion as follows:
2/5 = y/35
To cross multiply, we have:
2 * 35 = 5 * y
70 = 5y
Dividing both sides of the equation by 5, we get:
y = 14
Therefore, Mr. Kim uses 14 pails of cement.