Question

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? (?)

Answer 1

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?

Answer 2

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.

Answer 3

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