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Eddi Din [679]
3 years ago
14

Phillip rides his scooter to school in 6 2/5 minutes. It takes Joey 4 1/2 times as long to get to school. How long does it take

Joey to get to school?
Mathematics
1 answer:
jolli1 [7]3 years ago
5 0
Philip rides to school in 6 2/5 minutes.....it takes Joey 4 1/2 times as long...

4 1/2 * 6 2/5 = 
9/2 * 32/5 =
144/5 =
28 4/5 minutes <== Joey's time to get to school
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<h3><u>Answer</u> :</h3>

Let numerator of fraction be x and denominator be y.

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★ <u>Part - A</u> :

:\implies\tt\:\dfrac{x\times 4}{y-2}=2

:\implies\tt\:4x=2(y-2)

:\implies\tt\:4x=2y-4

:\implies\tt\:2y=4x+4

:\implies\bf\:y=2x+2\:\:\dots (1)

★ <u>Part</u><u> </u><u>-</u><u> </u><u>B</u> :

:\implies\tt\:\dfrac{x+15}{2y-2}=\dfrac{9}{7}

:\implies\tt\:7(x+15)=9(2y-2)

:\implies\tt\:7x+105=18y-18

From equation (1)...

:\implies\tt\:7x+105=18(2x+2)-18

:\implies\tt\:7x+105=36x+38-18

:\implies\tt\:29x=105-18

:\implies\tt\:x=\dfrac{87}{29}

:\implies\boxed{\bf{x=3}}

:\implies\tt\:y=2x+2

:\implies\tt\:y=2(3)+2

:\implies\boxed{\bf{y=8}}

∴ Fraction = x/y = 3/8

<h3>Hope It Helps!</h3>
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