Question

39. 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?
a. 8
b. 12
c. 15
d.​

Answer 1

Explanation:

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`\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 ?

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`\underline{ \underline{ \text{Solution}}} :`

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

Then , According to the question :

`\sf{ (Number \: of \: new \: houses)/(Number \: of \: antique \: houses) \: = \: (4)/(5)}`

⤑
`\sf{ (12)/(x) = (4)/(5)}`

Apply cross product property

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`\sf{4 * x = 12 * 5}`

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`\sf{4x = 60}`

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`\sf{ (4x)/(4) = (60)/(4)}`

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`\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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