Question

A pound of peaches cost $4 less than a pound of mangos. Together 10 pounds of peaches and 8 pounds of mangos cost $95. How much would three pounds of mangos cost?

Answer 1

Let the cost of a peach = x

The cost of a mango = x + 4

`10x\text{ + 8(x+4) = 95}`
`\begin{gathered} 10x\text{ + 8x + 32 = 95} \\ 18x\text{ = 95 - 32} \\ 18x\text{ = 63} \\ x\text{ = }(63)/(18)=\text{ 3.5} \end{gathered}`
`\begin{gathered} \text{Peach = \$3.5} \\ \text{Mango = 3.5 + 4 = \$7.5} \end{gathered}`

The cost of three pounds of mangos;

`\begin{gathered} 3\text{ (\$7.5)} \\ \text{\$22.5} \end{gathered}`