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some one answer ASAP!! in trail mix, there are nuts and dried fruit. In one mix there is 40% dried fruit. In another, there is 60% dried fruit. How many pounds of each mix is needed to make 5 pound mix that is 55% dried fruit?
let x= The amount of 40% fruit mix
let y=the amount of 60% fruit mix

what is the solution to the system

some one answer ASAP in trail mix there are nuts and dried fruit In one mix there is 40 dried fruit In another there is 60 dried fruit How many pounds of each m class=

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gmany

[tex]p\%=\dfrac{p}{100}\\\\40\%=\dfrac{40}{100}=\dfrac{4}{10}=0.4;\ 60\%=\dfrac{60}{100}=\dfrac{6}{10}=0.6;\ 55\%=\dfrac{55}{100}=0.55\\\\\left\{\begin{array}{ccc}x+y=5&\to x=5-y\\0.4x+0.6y=0.55\cdot5\end{array}\right\\\\\text{Use substitution method}\\\\0.4(5-y)+0.6y=2.75\qquad\text{use distributive property}\\\\(0.4)(5)+(0.4)(-y)+0.6y=2.75\\\\2-0.4y+0.6y=2.75\qquad\text{subtract 2 from both sides}\\\\0.2y=0.75\qquad\text{multiply both sides by 5}\\\\\boxed{y=3.75}[/tex]

[tex]\text{Put the value of y to the first equation}\\\\x=5-3.75\\\\\boxed{x=1.25}\\\\Answer:\ x=1.25\ and\ y=3.75.[/tex]

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