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
