SOLUTION: *If 7,182 roses were killed in last nights frost, and this was 2{{{5/8}}} as many as the night before, how many roses were killed the night before?* I'm not sure how to do this

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: *If 7,182 roses were killed in last nights frost, and this was 2{{{5/8}}} as many as the night before, how many roses were killed the night before?* I'm not sure how to do this       Log On


   



Question 175241: *If 7,182 roses were killed in last nights frost, and this was 25%2F8 as many as the night before, how many roses were killed the night before?*
I'm not sure how to do this problem. If its possible could you please show your work?
Thank You

Found 2 solutions by gonzo, jim_thompson5910:
Answer by gonzo(654) About Me  (Show Source):
You can put this solution on YOUR website!
7182 were killed in last night's frost.
this was 2 and 5/8 as many as the night before.
how many roses were killed the night before.
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let x = number of roses killed the night before.
then:
7182 = 2 and 5/8 times x.
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since 2 = 16/8, this is the same as:
7182 = 21/8 * x
multiply both sides of this equation by 8 to get:
7182 * 8 = 21 * x
divide both sides of this equation by 21 to get:
x = 7182 * 8 / 21
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this makes x = 2736 which means 2736 were killed the night before.
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go back to your original problem statement.
7182 roses were killed last night.
this is 2 and 5/8 times the number killed the night before.
the number killed the night before is 2736.
2 and 5/8 times 2736 = 2.625 times 2736 = 7182
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Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
First, convert 2%265%2F8 to an improper fraction.

Step 1: Take the denominator 8 and multiply it by the whole number 2 to get 8%2A2=16


Step 2: Now add the result 16 to the numerator 5 to get 16%2B5=21. This result is the new numerator. The denominator stays the same.


So the mixed fraction 2%265%2F8 converts to the improper fraction 21%2F8. In other words, 2%265%2F8=21%2F8. If converting fractions doesn't make sense, I'd suggest studying it more (also feel free to ask me further).

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Now let x=# of roses killed the night before



Since "this was 2%265%2F8 as many as the night before" (which also means "this was 21%2F8 as many as the night before"), we can say

7182=%2821%2F8%29x


What's going on here is that we're taking the # of roses from the night before (which is x) and multiplying it by 21%2F8 (which is also 2%265%2F8) to get 7182


7182%2A8=21x Multiply both sides by 8


57456=21x Multiply


57456%2F21=x Divide both sides by 21 to isolate "x"


2736=x Divide


So the answer is x=2736 which means that 2,736 roses were killed the night before