Answer: " p = $ 6. 75 . "
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Step-by-step explanation:
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Set up a ratio:
" $4.50 is to "p" ; as "6" is to "9" ;
{'six dots' is to 'nine dots.'}.
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→ in which "p" is the amount (in dollars) for which we are to solve;
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→ " 4.50 : p::6:9 " ;
Write this ratio in the form of a fraction:
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→ " " ;
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Method 1)
→ Note: The fraction: " " ; can be reduced further and simplified:
→ " " ;
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Rewrite the ratio as:
→ " " ;
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Now, Cross-factor multiply:
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→ 2p = 3 * 4.50 ;
→ 2p = 13.50 ;
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Now, divide each side of the equation by "2" ;
to isolate "p" on one side of the equation;
& to solve for "p" :
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→ 2p / 2 = 13.50 / 2 ;
to get:
→ " p = $ 6. 75 " .
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Method 2)
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Write this ratio in the form of a fraction:
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→ " " ;
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Now, "Cross-factor multiply:
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→ " 6p = 9 * (4.50) " ; Solve for "p" [in units of dollars] :
→ " 6p = 40.5 " ;
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Divide Each Side of the equation by "6" ;
to isolate "p" on one side of the equation;
& to solve for "p " ;
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→ 6p / 6 = 40.5 / 6 ;
to get:
→ " p = $ 6.75 " .
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Using both methods; the value for "p" is the same!
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Hope this is helpful!
Best wishes to you in your academic pursuits
— and within the "Brainly" community!
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