Question

Amir is operating a machine that adds sand to a concrete mixture. The machine adds 1/10 ton of sand to the mixture in 4/5 minute. Enter a number in each box to complete the statements. Write the ratio that compares 1/10 ton of sand to 4/5 minute. The ratio in ton(s) per minute(s) is $$ ​. Simplify the ratio to find the amount of sand added in one minute. ton(s) per minute

Answer 1

The ratio will be
`(tonofsand)/(minutes)`. Since we know the machine adds
`(1)/(10)` ton of sand to the mixture in
`(4)/(5)` minute, the only thing we need to do is replace those values in our ratio to get:

`(tonofsand)/(minutes) = ( (1)/(10) )/( (4)/(5) )`
Now, lets simplify our ratio. Notice that our ratio is a division of tow fractions, and remember that to dive fractions we just flip the second fraction and multiply:

`( (1)/(10) )/( (4)/(5) ) = (1)/(10) . (5)/(4) = (5)/(40) = (1)/(8)`
We can conclude that the ratio in ton(s) per minute(s) is
`(1)/(8)`, which means
`(1)/(8)` ton of sand added in one minute (
`(1)/(8) ton/minute`)