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Mazyrski [523]
3 years ago
8

If the ratio of raisins to bran flakes in a box of raisin bran flakes cereal is 3:27, how many raisins are there in a box that c

ontains 3,000 raisins and brand flakes?
Mathematics
1 answer:
Jlenok [28]3 years ago
5 0

Answer:

300 raisins

Step-by-step explanation:

sum the parts of the ratio, 3 + 27 = 30 parts

Divide the total by 30 for the value of one part of the ratio.

3000 ÷ 30 = 100 ← value of 1 part of the ratio , then

3 parts = 3 × 100 = 300 ← number of raisins in a box

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\bf \qquad \qquad \textit{double proportional variation}\\\\
\begin{array}{llll}
\textit{\underline{y} varies directly with \underline{x}}\\
\textit{and inversely with \underline{z}}
\end{array}\implies y=\cfrac{kx}{z}\impliedby 
\begin{array}{llll}
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\end{array}\\\\
-------------------------------

\bf \begin{array}{llll}
\textit{y varies directly with}\\
\textit{the square root of x and inversely with z}
\end{array}\qquad y=\cfrac{k\sqrt{x}}{z}
\\\\\\
\textit{we also know that }
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x=4\\
z=3\\
y=10
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\\\\\\
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