Question

Write an equation to represent Catherine's profit (p) from selling cupcakes for one month Catherine sells cupcakes, c, for 1.50 each. The ingredients for each cupcake cost her $0.30, and the sum of all her other expenses is $20.00/month

Answer 1

`\text{p}=\$1.20\text{c}-\$20`

Explanation:

GIVEN: Catherine sells cupcakes c for
`\$1.50` each, The ingredients for each cupcake cost her
`\$0.30`, and the sum of all her other expenses is
`\$20/\text{month}`.

TO FIND: Equation to represent Catherine's profit from selling cupcakes.

SOLUTION:

Cost of ingredients for each cupcake
`=\$0.30`

sum of all other expenses
`=\$20/\text{month}`

Selling price of each cupcake
`=\$1.50`

Total cupcakes sold
`=\text{c}`

Now,

As we know that
`\text{Net profit}=\text{Selling price}-\text{Cost price}-\text{Other expense}`

putting values,

`\text{p}=\$1.50\text{c}-\$0.30\text{c}-\$20`

`\text{p}=\$1.20\text{c}-\$20`

Hence the equation to represent Catherine's profit (p) from selling cupcakes for one month Catherine sells is
`\text{p}=\$1.20\text{c}-\$20`