A construction worker worker mixes cement and sand to make motar. He always uses the same ratio of cement to sand, as shown on the table.

Cement (Pounds)| Sand (Pounds)
2 | 12
? | ?
9 | 54
12 | 72

What is the ratio of the two unknown numbers? (?)

3 answers

The ratio of cement to sand can be calculated by dividing the weight of cement by the weight of sand.

To find the ratio for the first row, we divide 2 pounds of cement by 12 pounds of sand:
2/12 = 1/6

To find the ratio for the third row, we divide 9 pounds of cement by 54 pounds of sand:
9/54 = 1/6

To find the ratio for the fourth row, we divide 12 pounds of cement by 72 pounds of sand:
12/72 = 1/6

Therefore, the ratio of cement to sand is always 1:6.
A construction worker worker mixes cement and sand to make motar. He always uses the same ratio of cement to sand, as shown on the table.
Cement (Pounds)| Sand (Pounds)
2 | 12
? | ?
9 | 54
12 | 72

Wha are the two unknown numbers?
To find the two unknown numbers, we can use the ratio of cement to sand - which is 1:6 (as determined in the previous response).
Using this ratio, we can determine the unknown numbers by multiplying or dividing.
Let's calculate:

For the second row:
Since 1 part cement is equivalent to 6 parts of sand in the ratio, we can set up the equation:
2 pounds of cement / 1 = ? pounds of cement / 6
By cross-multiplying, we get ? pounds of cement = (2 pounds of cement * 6) / 1
? pounds of cement = 12 pounds

Similarly, for the second row:
Since 1 part cement is equal to 6 parts of sand in the ratio, we set up the equation:
? pounds of sand / 12 pounds = 6 pounds of sand / 1
By cross-multiplying, we get ? pounds of sand = (12 pounds of sand * 6) / 1
? pounds of sand = 72 pounds

So, the two unknown numbers are:
? pounds of cement = 12 pounds
? pounds of sand = 72 pounds