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Mixture of 40 liters of paint is 25% red tint, 30% yellow tint and 45% water. Five liters of red tint and five liters of yellow tint are added to the original mixture. What is the percent of water in this new mixture?

Sagot :

Step 1

25% of 40 litres is;

[tex]\frac{25}{100}\times40=10\text{ litres of red tint}[/tex]

Step 2

30% of 40 litres;

[tex]\frac{30}{100}\times40=\text{ 12 litres of yellow tint}[/tex]

Step 3

45% of 40 litres;

[tex]\frac{45}{100}\times40=18\text{ litres}[/tex]

Step 4

5 liters of red tint are added and 5 liters of yellow tint are added to the original mixtures

[tex]\begin{gathered} 10\text{ +5=15 litres of red tint} \\ 12+5=17\text{ liters of yellow tint} \\ 18\text{ liters of water} \end{gathered}[/tex]

Answer; What is the percent of water in this new mixture?

[tex]\begin{gathered} Total=15+17+18=50\text{ liters} \\ \frac{18}{50}\times100=36\text{\%} \end{gathered}[/tex]