Question

Number 5 SOMEONE HELPPPP

Answer 1

System of equations:
`\left \{ {{3b+5s=2.31} \atop {5b+3s=3.05}} \right.`

A bar soap costs $0.52 and a sponge costs $0.15

Explanation:

Let be "x" the cost in dollars of a bar of soap and "y" the cost in dollars of a sponge.

Based on the information given in the exercise, you can set up the following system of equations:

`\left \{ {{3x+5y=2.31} \atop {5x+3y=3.05}} \right.`

You can use the Elmination method to solve the system of equations:

1. Multiply the first equation by -3 and the second one by 5.

2. Add the equations.

3. Solve for "x".

Then:

`\left \{ {{-9x-15y=-6.93} \atop {25x+15y=15.25}} \right\\........................\\16x=8.32\\\\x=0.52`

4. Substitute the value of "x" into any original equation and solve for "y":

`3(0.52)+5y=2.31\\\\5y=2.31-1.56\\\\5y=0.75\\\\y=0.15`