evschemm
evschemm
27-09-2017
Mathematics
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How do I start This?
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jdoe0001
jdoe0001
27-09-2017
[tex]\bf \begin{array}{lccclll} &\stackrel{lbs}{amount}&\stackrel{unit}{cost}&\stackrel{total}{value}\\ &------&------&------\\ Raisins&11&2.30&25.3\\ Peanuts&p&4.50&4.5p\\ ------&------&------&------\\ mixture&m&3.29&3.29m \end{array}[/tex]
we know that, the mixture amount is the sum of 11 + p, or
11 + p = m
.
we also know that, the total value is also a sum of
25.3 + 4.5p = 3.29m
.
[tex]\bf \begin{cases} 11+p=\boxed{m}\\ 25.3+4.5p=3.29m\\ ----------\\ 25.3+4.5p=3.29\left( \boxed{11+p} \right) \end{cases} \\\\\\ 25.3+4.5p=36.19+3.29p\implies 1.21p=10.89\implies p=\cfrac{10.89}{1.21} \\\\\\ p=\stackrel{lbs}{9}[/tex]
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