Question

A + 2a - 3 = 30and 0.10c + 0.25(c + 3) = 10.90

Answer 1

`a+2a-3=30`

solve the first squation by simplifying all common factors

`3a-3=30`

add 3 on both sides

`\begin{gathered} 3a-3+3=30+3 \\ 3a=33 \end{gathered}`

divide by 3 on both sides

`\begin{gathered} a=(33)/(3) \\ a=11 \end{gathered}`

for the second equation

`0.10c+0.25(c+3)=10.90`

simplify left side of the equation

`0.10c+0.25c+0.75=10.90`
`0.35c+0.75=10.90`

substract 0.75 on both sides

`\begin{gathered} 0.35c+0.75-0.75=10.90-0.75 \\ 0.35c=10.15 \end{gathered}`

divide by 0.35 on both sides

`\begin{gathered} c=(10.15)/(0.35) \\ c=29 \end{gathered}`