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A mixture of purple paint contains 6 teaspoons of red paint and 15 teaspoons of blue paint. To make the same shade of purple paint using 35 teaspoons of blue paint, how much red paint would you need? :o

Oct 19, 2020

#1
+1

14 teaspoons of red

Oct 19, 2020
#2
+2

Thank you ^~^

wolfiechan  Oct 19, 2020
edited by wolfiechan  Oct 19, 2020
#3
+2

To answer this question you should first know your rate. Let r stand for the rate. Your equation should be 15r=35. Now you must divide 35/15 to get the rate to be alone. 35/15=2 and 1/3. Ok so now we have our rate. Next we must find out the aont of red by multiplying 6*r which would be 14. The amount of red you need is 14 teaspoons.

Oct 19, 2020
#4
+2

Thank you :D

wolfiechan  Oct 19, 2020
#5
+2

Ratios

6 is to 15     as    'x' is to 35

6/15 = x/35        x =  35 * 6/15 = 14 tsp

Oct 19, 2020
#6
+2

:D thank you

wolfiechan  Oct 20, 2020
#7
+1

ratio is a way to compare two quantities by using division as in miles per hour where we compare miles and hours. A proportion on the other hand is an equation that says that two ratios are equivalent. ... If one number in a proportion is unknown you can find that number by solving the proportion.

Guest Oct 21, 2020
#8
+2

A mixture of purple paint contains 6 teaspoons of red paint and 15 teaspoons of blue paint. To make the same shade of purple paint using 35 teaspoons of blue paint, how much red paint would you need?

Here is an easy way to do these without algebra

 Red Blue Total 6 15 21 $$6*\frac{35}{15}=?$$ $$15*\frac{35}{15}=35$$ 14 35 Not needed

$$15*\frac{35}{15}=35$$   so I will have to multiply the red by  35/15 too.

Oct 21, 2020
#9
+2

Thank you!

wolfiechan  Oct 21, 2020