Oranges

The mother divided her three children's oranges in a ratio of 6:5:4. Two children gave 45 oranges. How many oranges were there?

Correct answer:

n =  75

Step-by-step explanation:

a:b:c=6+5+4 a+b=45 ∣∣ b+c=45 ∣∣ c+a=45  k1​=6+5+46​=52​=0.4 k2​=6+5+45​=31​≐0.3333 k3​=6+5+44​=154​≐0.2667  q1​=k1​+k2​=0.4+0.3333=1511​≐0.7333 q2​=k1​+k3​=0.4+0.2667=32​≐0.6667 q3​=k3​+k2​=0.2667+0.3333=53​=0.6  n1​=45/q1​=45/0.7333=11675​=61114​≐61.3636 n2​=45/q2​=45/0.6667=2135​=6721​=67.5 n3​=45/q3​=45/0.6=75  n=n3​=75  a=k1​⋅ n=0.4⋅ 75=30 b=k2​⋅ n=0.3333⋅ 75=25 c=k3​⋅ n=0.2667⋅ 75=20  n=75

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