You spend $20 total on paint and brushes. Paint cost $4 each and brushes cost $0.50 each. You buy twice as many brushes as paint. How many brushes and paint did you buy?

Respuesta :

Answer:

Brushes= 8, Paint= 4

Step-by-step explanation:

Given: Total spending on paint and brush= $20

           Cost of each paint= $4

           Cost of each brush= $0.50.

Let´s assume the number of paint bought be "x"

∴ number of brushes bought is "2x".

Now, forming an equation to determine the number of paint and brushes bought.

⇒ [tex]\$4\times x+ \$0.50\times 2x= \$20[/tex]

⇒[tex]4x+x= 20[/tex]

⇒[tex]5x= 20[/tex]

Dividing both side by 5

⇒ [tex]x= \frac{20}{5}[/tex]

∴ [tex]x= 4\ unit[/tex]

Hence, number of paint bought is 4 units.

Next finding the number of brushes bought.

Number of brushes bought= [tex]2\times 4[/tex]

∴ Number of brushes bought= [tex]8\ units[/tex]

Hence, number of brushes bought is 8 units.