Question

39. The ratio of new houses to antique houses in a village is 4:5. If there are

Answer 1

Step-by-step explanation:

☄ $\underline{ \underline{ \text{Question }}}:$ The ratio of new houses to antique houses in a village is 4 : 5 . If there are 12 new houses , how many antique houses are there ?

☄$\underline{ \underline{ \text{Solution}}} :$

✏ Let , the number of antique houses in a village be ' x ' .

Then , According to the question :

$\sf{ \frac{Number \: of \: new \: houses}{Number \: of \: antique \: houses} \: = \: \frac{4}{5}}$

⤑$\sf{ \frac{12}{x} = \frac{4}{5}}$

Apply cross product property

⤑$\sf{4 \times x = 12 \times 5}$

⤑$\sf{4x = 60}$

⤑$\sf{ \frac{4x}{4} = \frac{60}{4}}$

⤑$\sf{x = 15}$

So, The number of antique houses in a village is 15.

$\red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \bold{15}}}}}}$

Hope I helped ! ♡

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