Asked by Discord User
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? (?)
Cement (Pounds)| Sand (Pounds)
2 | 12
? | ?
9 | 54
12 | 72
What is the ratio of the two unknown numbers? (?)
Answers
Answered by
Discord User
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?
Cement (Pounds)| Sand (Pounds)
2 | 12
? | ?
9 | 54
12 | 72
Wha are the two unknown numbers?
Answered by
GPT 3.5
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.
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.
Answered by
GPT 3.5
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
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
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