Question

A Recipe for pancakes uses 3 cups of flour and 2 cups of milk.Find ratios ​

Answer 1

Answer:

the answer is 3:2

Step-by-step explanation:

number of cups for of flour = 3

number of cups of milk = 2

ratio of number of cups of flour is to the number of cups of milk = 3/2

= 3:2

therefore the ratio is 3:2.

Answer 2

${ \large{ \underline{ \pmb{ \frak{ Given : }}}}}$

• Number of cups for of flour = 3
• Number of cups of milk = 2

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We need to find the ratio of flour to milk.

Here, we might need 4 times the quantity, so we multiply the numbers by 4:

$\sf 3 \times 4:2 \times 4 = \sf \pink {12:8}$

It seems 12 cups of flour and 8 cups of milk.

⠀⠀⠀⠀⠀$\therefore {\underline{ \mathrm {  Ratio \:of\:flour\:to\:milk \:is\:\bf{3:2 Or, 12:8}}}}$

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$\large {\boxed{\sf\purple{\mid{\overline {\underline { More\:To\:know\::}}}\mid}}}$

‎ ‎$\large\underline{\boxed{\mathfrak{\red{Ratio}}}}$

• ‎A ratio is a comparison of two quantities of same kind (with same units) by division. The ratio of $\sf{a}$ to $\sf{b}$ is written as $\sf{a:b}$ or $\sf{\dfrac{a}{b}}$.
• n ‎In the ratio $\sf{a:b}$, $\sf{a}$ and $\sf{b}$ are called terms of the ratio. '$\sf{a}$' is the antecedent and '$\sf{b}$' is the consequent.

‎$\large\underline{\boxed{\mathfrak{\red{Properties \: of \: ratios }}}}$

• The ratio of two quantities can be formed, only when both the quantities are expressed in same units.
• The order of the terms in a ratio $\sf{a:b}$ is very important $\rightarrow$ $\sf{a:b≠b:a}$
• The value of a ratio remains unaltered if the given ratio is multiplied or divided by the same non-zero quantity. Suppose, $\sf{a}$, $\sf{b}$ and $\sf{m}$ are non-zero real numbers. Then, $\sf{a : b = ma : mb}$ and $\sf{a : b =\dfrac{a}{m} : \dfrac{b}{m}}$.

‎$\large\underline{\boxed{\mathfrak{\red{Comparison \: of \: ratios }}}}$

• Let $\sf{a:b}$ and $\sf{c:d}$ be two ratios, then
• $\sf{a : b > c : d, \:if \:ad > bc}$
• $\sf{a : b < c : d, \:if \:ad < bc}$
• $\sf{a : b = c : d, \:if \:ad = bc}$
• Ratios can be compared by expressing the ratios as fractions and then, converting them into decimal numbers.
• It can also be compared by converting them to their equivalent fraction of common denominator.

‎$\large\underline{\boxed{\mathfrak{\red{Types \: of \: ratios }}}}$

• Compounded ratio: The compounded ratio of $\sf{a:b}$ and $\sf{c:d}$ is $\sf{ac:bd}$.
• Duplicate ratio: The duplicate ratio of $\sf{a:b}$ is $\sf{a^2:b^2}$.
• Sub- duplicate ratio: The sub- duplicate ratio of $\sf{a:b}$ is $\sf{\sqrt{a}:\sqrt{b}}$.
• Triplicate ratio: The triplicate ratio of $\sf{a:b}$ is $\sf{a^3:b^3}$.
• Inverse ratio: The inverse ratio of $\sf{a:b}$ is $\sf{\dfrac{1}{a}:\dfrac{1}{b}}$, i.e, $\sf{b:a}$.

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