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3/16 of the fruits at a stall are pears. 1/4 of the remaining fruits are oranges. The rest are apples. If there are 585 apples, how many fruits are at the stall??(please help me with a specific primary 5 way as my nephew is primary five)

 Aug 17, 2015

Best Answer 

 #2
avatar+26396 
+15

3/16 of the fruits at a stall are pears. 1/4 of the remaining fruits are oranges. The rest are apples. If there are 585 apples, how many fruits are at the stall??

f = fruits    p = pears   o = oranges   a = apples

 

(1) p=f316

(2) o=(fp)14 or o=(ff316)14=f131614=f1364

(3) f=o+p+a

 

a=585f=o+p+585f=o+p+585|o=f1364p=f316f=f1364+f316+585ff1364f316=585f(11364316)=585f(64133464)=585f3964=585f=5856439f=960

 

At the stall are 960 fruits.

pears = 960 * (3/16) = 180

oranges = (960-180)/4 = 195

apples = 960 - 180 - 195 = 585 ( okay )

 

 Aug 17, 2015
 #1
avatar+14538 
+5

Hello MaiaMitchell !

Here my answer !

all fruits together:   x                             =>  1040

pears                 :   3/16 * x                  =>    195

oranges              :   1/4 * x                   =>    260

apples                :  585                          =>   585

316×x+14×x+585=x             |  * 16

 

3x + 4x  + 9360 = 16x

9360 = 9x     =>     x = 1040      ( all fruits )

 

Gruß radix !

 

 

 Aug 17, 2015
 #2
avatar+26396 
+15
Best Answer

3/16 of the fruits at a stall are pears. 1/4 of the remaining fruits are oranges. The rest are apples. If there are 585 apples, how many fruits are at the stall??

f = fruits    p = pears   o = oranges   a = apples

 

(1) p=f316

(2) o=(fp)14 or o=(ff316)14=f131614=f1364

(3) f=o+p+a

 

a=585f=o+p+585f=o+p+585|o=f1364p=f316f=f1364+f316+585ff1364f316=585f(11364316)=585f(64133464)=585f3964=585f=5856439f=960

 

At the stall are 960 fruits.

pears = 960 * (3/16) = 180

oranges = (960-180)/4 = 195

apples = 960 - 180 - 195 = 585 ( okay )

 

heureka Aug 17, 2015
 #3
avatar+33654 
+10

Two different answers above!  Here's my version:

 

 fruits:

.

 Aug 17, 2015

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