Usman458
05.02.2020 •
Mathematics
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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Ответ:
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
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
Sammy sold 100 bottles and David sold 60 bottles.
Ответ: