## In a class the number of boys and girls in the ratio 4:5. If 10 more boy’s added in the same class the ratio of number of boys and girls bec

Question

In a class the number of boys and girls in the ratio 4:5. If 10 more boy’s added in the same class the ratio of number of boys and girls become 6:5. How many girls are there in a class. Explain in step by step procedure. Please urgent. Please help me to solve anyone in detail.

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Math
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2021-08-12T12:09:06+00:00
2021-08-12T12:09:06+00:00 2 Answers
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## Answers ( )

Step-by-step explanation:boys =x, x/y=4/5

x+10/y=6/5

5x-4y=0

5x+50-6y=0

-2y+50=0

-2y=-50

y=25,y means girls

5x-4*25=0

x=20

HeyBuddyHere’stheAnswer–––––––––––––––––––––––––––––––––––––––––––––––––––––––=>Letboysbe(x)andgirls(y)Given:Ratioofboysandgirlis4:5=>x/y=4/5=>5x=4y=>x=4y/5______(1)Given:If10boysadded,Ratiobecomes6:5=>(x+10)/y=6/5=>5(x+10)=6y=>5x–6y+50=0=>5x–6y+50=0=>5x – 6y =–50___________(2)Byputtingvalueofxineq(2)=>5x – 6y = –50=>5(4y/5)– 6y = –50=>4y–6y=–50=>–2y=–50=>y=25✓Nowbyfindingxbyputtingvalueofyineq(1)=>x = 4y/5=>x=4×25/5=>x=4×5=>

x=20✓So,Thereare20boysand25girlsHopeitHelps:)