Mr Kim mix cement and sand to make a mixture.He uses 2 pails of cement for every 5 pails of sand.

(A) Find the ratio of the number of pails of cement to the number of pails of sand.
(B) If he uses 24 pails of cement,how many pails of sand does he use?
(C) If he uses 35 pails of sand,how many pails of cement does he use?

(A) 2/5

(B) 2/5 = 24/60

(C) 2/5= what/35

multiply 2/5 by 7/7

and get 14/35
so
14

To solve this problem, we will follow the given information and use ratios.

(A) To find the ratio of the number of pails of cement to the number of pails of sand, we can use the given ratio: 2 pails of cement for every 5 pails of sand.

The ratio can be expressed as 2:5, where the first number represents the pails of cement, and the second number represents the pails of sand.

(B) If Mr. Kim uses 24 pails of cement and wants to find out how many pails of sand he uses, we can set up a proportion using the ratio from part (A):

2/5 = 24/x

Cross-multiplying, we have:

2x = 24 * 5

2x = 120

Dividing both sides by 2, we get:

x = 120/2
x = 60

Therefore, Mr. Kim would use 60 pails of sand when he uses 24 pails of cement.

(C) Similarly, if he uses 35 pails of sand, we can calculate the corresponding number of pails of cement using the same ratio:

2/5 = y/35

Cross-multiplying, we have:

2 * 35 = 5y

70 = 5y

Dividing both sides by 5, we get:

y = 70/5
y = 14

Therefore, Mr. Kim would use 14 pails of cement when he uses 35 pails of sand.