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? (?)
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
To find the ratio of the two unknown numbers, we can calculate the ratio of the known numbers and use it to find the ratio of the unknown numbers.
From the table, we can see that the ratio of cement to sand is consistently 1:6.
This means that for every 1 pound of cement, there are 6 pounds of sand.
Therefore, the ratio of the two unknown numbers is also 1:6.
To find the ratio of the unknown numbers, we need to compare the ratio of cement to sand in the other known examples and use that information to determine the ratio of the unknown numbers.
Looking at the table, we can see that the ratio of cement to sand is always the same. From the first row, we have a ratio of 2:12, which can be simplified to 1:6.
Now, if we compare this ratio with the other examples, we can determine the ratio of the unknown numbers.
In the second row, the cement is unknown, but the sand is also unknown. Since the ratio stays the same, we can set it up as 1:x. To determine x, we need to multiply the second part of the first ratio (6) by the same factor. So, 6 multiplied by the unknown ratio factor would give us the amount of sand (x) in the second row.
So, the ratio in the second row is 1:(6 * unknown ratio factor).
In the third row, the ratio is 9:54, which can be simplified to 1:6, just like the first row. This confirms that the unknown ratio factor is the same as the one used in the first row.
Therefore, in the second row, the ratio is 1:(6 * unknown ratio factor). And in the fourth row, the ratio is 12:(6 * unknown ratio factor), as it also follows the same pattern.
To summarize, the ratio of the unknown numbers is 1:(6 * unknown ratio factor).