Question 122281


{{{(16/30)s+(16/35)s+(16/20)s=17}}} Start with the given equation




{{{(420)((16/30)s+(16/35)s+(16/20)s)=(420)(17)}}} Multiply both sides by the LCM of 420. This will eliminate the fractions  (note: if you need help with finding the LCM, check out this <a href=http://www.algebra.com/algebra/homework/divisibility/least-common-multiple.solver>solver</a>)




{{{224s+192s+336s=7140}}} Distribute and multiply the LCM to each side




{{{752s=7140}}} Combine like terms on the left side



{{{s=(7140)/(752)}}} Divide both sides by 752 to isolate s




{{{s=1785/188}}} Reduce


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Answer:

So our answer is {{{s=1785/188}}}  (which is approximately {{{s=9.49468085106383}}} in decimal form)