SOLUTION: There are @ least 200 apples in a grocery store. the ratio of oranges to apples is 9:10. how many oranges could there be in the store? select all that apply: 171 180 216 252

Algebra ->  Average -> SOLUTION: There are @ least 200 apples in a grocery store. the ratio of oranges to apples is 9:10. how many oranges could there be in the store? select all that apply: 171 180 216 252      Log On


   

Question 640831: There are @ least 200 apples in a grocery store. the ratio of oranges to apples is 9:10. how many oranges could there be in the store?
select all that apply:
171
180
216
252
315
Found 2 solutions by MathLover1, Edwin McCravy:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

there are at least 200 apples in a grocery store
the ratio of oranges to apples is 9%3A10=9%2F10
then
oranges%2Fapples=9%2F10
oranges%2F200=9%2F10
oranges=%289%2F10%29200

oranges=%289%2Fcross%2810%29%2920cross%280%29
oranges=9%2A20
oranges=180

Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
There are @ least 200 apples in a grocery store. the ratio
of oranges to apples is 9:10. how many oranges could there
be in the store?
select all that apply:
Let a = the number of apples
let x = the number of oranges (we can't use "o" because it looks like zero)

x:a = 9:10

x%2Fa = 9%2F10

9a = 10x

a = 10x%2F9

Substitute each in that equation:

x = 171

a = 10x%2F9 = 10%2A171%2F9 = 190 apples, no for there are at least 200 apples

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x = 180

a = 10x%2F9 = 10%2A180%2F9 = 200 apples, yes for 200 is at least 200. 

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x = 216

a = 10x%2F9 = 10%2A216%2F9 = 240 apples, yes for 240 is at least 200. 

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x = 252

a = 10x%2F9 = 10%2A252%2F9 = 280 apples, yes for 280 is at least 200. 

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x = 315

a = 10x%2F9 = 10%2A315%2F9 = 350 apples, yes for 350 is at least 200. 

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All but the first one, 171.

Edwin