Mathematics
Mahima10
17

Sammy and david were selling water bottles to raise money for new football uniforms. Sammy sold 5 bottles for every 3 water bottles. David sold. Together. They sold 160 water bottles. How many did each boy sell?

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(1) Answers
bbb911

x=number of bottles sold by Sammy. y=number of bottles sold by David. We can suggest the following system of equations: x/y=5/3 x+y=160 We solve the system of equations by substitution method. x+y=160        ⇒y=160-x x/(160-x)=5/3 3x=5(160-x) 3x=800-5x 3x+5x=800 8x=800 x=800/8 x=100 y=160-x y=160-100 y=60 answer: Sammy sold 100 bottles and David sold 60 bottles. other method. 5x=bottles sold by Sammy 3x=bottles sold by David. We can suggest the following equation: 5x+3x=160 8x=160 x=160/8 x=20 bottles sold by Sammy: 5x=5(20)=100 bottles sold by David:  3x=3(20)=60 Answer:Sammy sold 100 bottles and David sold 60 bottles.

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