4. A stamp collector has some 15¢ stamps and some 20¢ stamps. The number of 15¢ stamps is eight less than three times the number of 20¢ stamps. The total value is $4. Find the number of each type of stamp in the collection. PLEASE SHOW YOUR WORK I WILL MAKE BRAINLIST PLEASE!!!

Respuesta :

Answer:

4.00

Step-by-step explanation:

Let x = the number of 15-cent stamps and y = the number of 20-cent stamps.

x($0.15)+y($0.20) = $4.00 and...

x = 3y-8 "The number of 15-cent stamps (x) is eight less than three times the number of 20-cent stamps (3y-8)" Substitute the x here into the first equation and solve for y.

(3y-8)(0.15)+y(0.20) = $4.00 Simplify.

(0.45)y-1.20+(0.20)y = 4.00