Basic Math/Ratios

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Question
Hello
I have some difficulties in helping my daughter to solve her homework
Please if you could help me with the following questions:
1) a shade of pink is made by mixing red and white paint in the ratio 7:2. How much of each colour is need to make 45 liters of pink?
2) how can i simplify the following ratio 3:50p?
Your help is very much appreciated

Answer
Hello Mary,

1. Let x=# of liters of red paint needed, then 45-x=# of liters of white paint needed.
.  In the ratio of 7:2 means x:(45-x) = 7:2 or x/(45-x)=7/2...cross multiplying gives:
.  2x=7(45-x) or 2x=315-7x ==> 9x=315 ==> x=35 and 45-x=10.  Hence, 35 liters of red
.  and 10 liters of white.

2. I do not understand this question.  Did you correctly type it?

TTYL, Abe

Basic Math

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Abe Mantell

Expertise

Hello, I am a college professor of mathematics and regularly teach all levels from elementary mathematics through differential equations, and would be happy to assist anyone with such questions!

Experience

Over 15 years teaching at the college level.

Organizations belong to
NCTM, NYSMATYC, AMATYC, MAA, NYSUT, AFT.

Education/Credentials
B.S. in Mathematics from Rensselaer Polytechnic Institute
M.S. (and A.B.D.) in Applied Mathematics from SUNY @ Stony Brook

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