Step-by-step explanation:
☄ [tex] \underline{ \underline{ \text{Question }}}: [/tex] 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 ?
☄[tex]\underline{ \underline{ \text{Solution}}} : [/tex]
✏ Let , the number of antique houses in a village be ' x ' .
Then , According to the question :
[tex] \sf{ \frac{Number \: of \: new \: houses}{Number \: of \: antique \: houses} \: = \: \frac{4}{5}} [/tex]
⤑[tex] \sf{ \frac{12}{x} = \frac{4}{5}} [/tex]
Apply cross product property
⤑[tex] \sf{4 \times x = 12 \times 5}[/tex]
⤑[tex] \sf{4x = 60}[/tex]
⤑[tex] \sf{ \frac{4x}{4} = \frac{60}{4}} [/tex]
⤑[tex] \sf{x = 15}[/tex]
So, The number of antique houses in a village is 15.
[tex] \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \bold{15}}}}}}[/tex]
Hope I helped ! ♡
Have a wonderful day / night ツ
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