Originally 5427

There were red and green candies in the tin. Čenek ate 2/5 of all the red candies, and Zuzka ate 3/5 of all the green candies. Now, the red candies make up 3/8 of all the candies in the can.

How many candies were originally in the can?

Correct answer:

n =  35

Step-by-step explanation:

c = 5 k1​ z = 5 k2​ c2​=1−2/5=53​=0.6 z2​=1−3/5=52​=0.4   z⋅ z2​+c⋅ c2​c⋅ c2​​ = 83​ 8⋅ c⋅ c2​ = 3⋅ c2​⋅ c+3⋅ z2​⋅ z c3​=8⋅ c2​−3⋅ c2​=8⋅ 0.6−3⋅ 0.6=3 z3​=3⋅ z2​=3⋅ 0.4=56​=151​=1.2  c3​⋅ c = z3​⋅ z 3c = 6/5 z 15c = 6z 15=3⋅5 6=2⋅3 LCM(15,6)=2⋅3⋅5=30  k3​=LCM(15,6)=30 k1​=2 k2​=5 c=2⋅ 5=10 z=5⋅ 5=25  n=c+z=10+25=35  s1​=3/8=83​=0.375 c4​=c−c⋅ 2/5=10−10⋅ 2/5=6 z4​=z−z⋅ 3/5=25−25⋅ 3/5=10 s4​=c4​/(c4​+z4​)=6/(6+10)=83​=0.375 s1​=s4​

Try another example


Did you find an error or inaccuracy? Feel free to write us. Thank you!







Tips for related online calculators
Do you want to calculate the least common multiple of two or more numbers?
Need help calculating sum, simplifying, or multiplying fractions? Try our fraction calculator.
Do you solve Diofant problems and are looking for a calculator of Diofant integer equations?
Do you have a linear equation or system of equations and are looking for its solution? Or do you have a quadratic equation?

You need to know the following knowledge to solve this word math problem:

Themes, topics:

Grade of the word problem:

Related math problems and questions: