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Question:
Katy makes 48 cookies an hour. If she has 24 already, how long would it take her to make 120?
Answer:
It takes 2.5 hours for Katy to make 120 cookies
Step-by-step explanation:
Given:
Time taken to make 48 cookies = 1 hour
To Find:
Time taken to make 120 cookies = ?
Solution:
Time taken to make 48 cookies = i hour
So now time taken to make 1 cookie = ![\frac{1}{48} hour](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B48%7D%20hour)
So time taken to make 120 cookies
= Number of cookies X time taken to make one cookie
=>
=>
=> 2.5 hours
Answer:
The original piece of wood is 108 cm
Step-by-step explanation:
From the given ratio, the shortest is of the ratio 5 and the longest is of the ratio 7
Let the original piece of wood be x
so the sum of the ratios will be;
5 + 6 + 6 + 7 = 24
the shortest length would be 5/24 * x
= 5x/24
the longest will be 7/24 * x = 7x/24
From the question;
7x/24 -5x/24 = 9
(7x-5x) = 24(9)
2x = 24(9)
x = (24 * 9)/2
x = 108 cm
Answer:
Jenny to do it alone in 18.96 hours
and Lea take it 11 hours
and both can do in 6.96 hours
Step-by-step explanation:
given data
both work complete in = 6.96 hours
to find out
how long it would have taken Lea 11 hours and how long it would take Jenny to do it alone would take Jessica to do it alone
solution
we know both can do complete work in 6.96 hours
so in 1 hour they work
part
and if Lea do it in 11 hours
so Lea do in 1 hours =
part
we consider jenny do work in x hours
so in 1 hour it complete =
part
so total work in 1 hour will be
+
= ![\frac{1}{6.96}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B6.96%7D)
solve we get x
x = 18.95
so Jenny to do it alone in 18.96 hours
and Lea take it 11 hours
and both can do in 6.96 hours
Answer:
1 and 1/2
Step-by-step explanation:
Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.