Jawaban dari "5/6 of Wendy's height is equal to 2/3 of her mother's height the difference in their height is 3 /10..."

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5/6 Of Wendy's Height Is Equal To 2/3 Of Her Mother's Height The Difference In Their Height Is 3 /10 M What Is Wendy's Height Express Your Answer In Its Simplest Form

Jawaban: #1:

Wendy's height is [tex]1\frac15 metres[/tex]

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Let's say Wendy's height is [tex]x[/tex] and her mother's height is [tex]y[/tex]

We know that

[tex]\frac56 x = \frac23 y[/tex]

that means

[tex]x=\frac23 y\div \frac56 \rightarrow x=\frac45y[/tex]

We also know that [tex]y-x = \frac310 m[/tex]

Using the substitution method, we get

[tex]y-\frac45 y = \frac310 m\\\\\frac55y- \frac45 y = \frac310 m\\\\\frac15 y = \frac310 m\\\\y=\frac310 m\div\frac15 \\y=\frac310 m\times\frac51 \\\\y=\frac1510m\\\\[/tex]

After we found the value of [tex]y[/tex], we return to [tex]y-x = \frac310 m[/tex] to find the value of [tex]x[/tex].

[tex]y-x = \frac310 m[/tex]

[tex]\frac1510m -x = \frac310 m\\x=\frac1510m -\frac310 m\\\\x=\frac1210 m =1 \frac15 m\\\\\therefore Wendy's\ height\ is\ 1 \frac15 m[/tex]

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Pelajari lebih lanjut tentang operasi hitung pecahan:

https://brainly.co.id/tugas/13872333

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Detail jawaban

Mapel: Matematika

Kelas: VI

Materi: Pengerjaan Hitung Bilangan Pecahan

Kata Kunci: pecahan, fractions