Question

18. Maddie has no more than $40 to spend at the store on new paint and paintbrushes for her art project. Paintbrushes cost $3 each and paint colors are sold for $6 each. If Maddie buys 4 paintbrushes, how many new paint colors can she afford?

Answer 1

Step-by-step explanation:

Let 'x' be the number of paint colors Maddie can buy.

She buys 4 paintbrushes that cost $3 each. This means that she already spent 4x3=$12 in paintbrushes. This amount plus the amount of money she'll spend in the paint colors must be at most $40:

`12+6x\le40`

Solving for x:

`\begin{gathered} 12-12+6x\le40-12 \\ 6x\le28 \\ x\le(28)/(6) \\ x\le4.\bar{6} \end{gathered}`

Since x must be a whole number (is the amount of paint colors) and it has to be less than 4.666... then Maddie can afford 4 paint colors

Answer:

Maddie can afford 4 paint colors