Question

`(?)/(5) * (10)/(8) =1.5\\` What number would replace the '?'

Answer 1

`\boxed{\sf \huge \boxed{ \sf ?} = 6}`

Explanation:

`\sf Solve \: for \: \boxed{ \sf ?} : \\ \sf \implies \frac{\boxed{ \sf ?}}{5} * (10)/(8) = 1.5 \\ \\ \sf \implies \frac{\boxed{ \sf ?} * 10}{5 * 8} = 1.5 \\ \\ \sf (10)/(5) = \frac{ \cancel{5} * 2}{ \cancel{5}} = 2 : \\ \sf \implies \frac{ \boxed{ \sf 2} * \boxed{ \sf ?} }{8} = 1.5 \\ \\ \sf (2)/(8) = \frac{ \cancel{2}}{ \cancel{2} * 4} = (1)/(4) : \\ \sf \implies \frac{\boxed{ \sf ?}}{ \boxed{ \sf 4}} = 1.5 \\ \\ \sf Multiply \: both \: sides \: of \: \frac{\boxed{ \sf ?}}{4} = 1.5 \: by \: 4 : \\ \sf \implies \frac{4 * \boxed{ \sf ?}}{4} = 4 * 1.5 \\ \\ \sf \frac{4 * \boxed{ \sf ?}}{4} = \frac{ \cancel{4}}{ \cancel{4}} * \boxed{ \sf ?} = \boxed{ \sf ?} : \\ \sf \implies \boxed{\boxed{ \sf ?}} = 4 * 1.5 \\ \\ \sf 4 * 1.5 = 6 : \\ \sf \implies \boxed{ \sf ?} = 6`