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Kasonga is 38 inches tall. He is 7/8 as tall as his brother how tall is his brother. How tall is his brother? Round your answer to the nearest inch.

Sagot :

MrRoyal

Answer:

[tex]B = 43\ in[/tex]

Step-by-step explanation:

Given

Represent Kasonga with K and his brother with B.

The first statement implies that:

[tex]K = 38\ in[/tex]

The second statement implies that:

[tex]K = \frac{7}{8}B[/tex]

Required

Find B

[tex]K = \frac{7}{8}B[/tex] and [tex]K = 38\ in[/tex]

Equate both expressions:

[tex]K = K[/tex]

[tex]\frac{7}{8}B = 38[/tex]

Multiply both sides by [tex]\frac{8}{7}[/tex]

[tex]\frac{8}{7} * \frac{7}{8}B = 38 * \frac{8}{7}[/tex]

[tex]B = 38 * \frac{8}{7}[/tex]

[tex]B = \frac{38 * 8}{7}[/tex]

[tex]B = \frac{304}{7}[/tex]

[tex]B = 43.4285714286[/tex]

[tex]B = 43\ in[/tex] -- approximated

Hence, his brother is 43 inches tall

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