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Answer :
Answer:
18
Step-by-step explanation:
The ratio of the sand is 3:7 and it can be write as 6:14 or 7:21 ... They means the same thing.
Now we know that we have 42 bags of sand, the left side of the number should be 42. Like this:
? : 42
Since we know that 3:7 can be write as 6:14 or 7:21 ... we can even write it as 18:42, it's still 3:7 .
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Final answer:
To make a mortar with a 3:7 lime to sand ratio, 18 bags of lime need to be mixed with 42 bags of sand.
Explanation:
The ratio of lime to sand in mortar is 3:7. This means that for every 3 units of lime, there should be 7 units of sand. If a student needs to mix with 42 bags of sand, we can set up a proportion to find the necessary amount of lime.
To find the number of bags of lime needed, we use the following steps:
Write down the ratio of lime to sand, which is 3:7.
Set up the proportion: If 7 units (bags) of sand correspond to 3 units (bags) of lime, then 42 units (bags) of sand would correspond to how many units of lime?
Set the proportion as an equation: (3/7) = (x/42), where x is the number of bags of lime.
Cross multiply and solve for x: 3 * 42 = 7x.
Calculate x: x = (3 * 42) / 7.
Simplify: x = 126 / 7.
Conclude that x = 18.
Therefore, 18 bags of lime must be mixed with 42 bags of sand to make the correct ratio of mortar.
