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# Help pls!

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Kumi is 3/4 the height of Zac.

Sue is 2/3 the height of Zac.

Kumi is 15 cm taller than Sue.

How tall is Zac in centimetres?

Apr 8, 2021

#1
+11667
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Kumi is 3/4 the height of Zac.

Sue is 2/3 the height of Zac.

Kumi is 15 cm taller than Sue.

How tall is Zac in centimetres?

Hello Guest!

$$k=\frac{3}{4}z\\ s=\frac{2}{3}z\\ k=s+15cm\\ \frac{3}{4}z=s+15cm\\ \frac{2}{3}z=\frac{3}{4}z-15cm$$

$$(\frac{3}{4}-\frac{2}{3})z=15cm\\ \frac{9-8}{12}\cdot z=15cm\\ z=\frac{15\cdot 12}{9-8}\cdot cm\\ \color{blue}z=180cm$$

$$k=\frac{3}{4}z=\frac{3}{4}\cdot 180cm\\ \color{blue}k=135cm\\ s=\frac{2}{3}z=\frac{2}{3}\cdot 180cm\\ \color{blue}s=120cm$$

Zac is 180 centimeters tall.

!

Apr 8, 2021