MATH SOLVE

5 months ago

Q:
# alice has eight good behavior stars and earns a new one each week. Mack has two good behavior stars and earns two new ones each week. In how many weeks will they have the same number of good behavior stars?

Accepted Solution

A:

Answer:In 14 weeks will they have the same number of good behavior starsStep-by-step explanation:Letx ----> the number of weeksy ----> the number of good behavior starswe know thatAlice[tex]y=x+8[/tex] ----> equation AMack[tex]y=2x+2[/tex] ----> equation BTo find out in how many weeks will they have the same number of good behavior stars, equate equation A and equation B[tex]2x+2=x+8[/tex] Solve for x[tex]2x-x=8-2[/tex] [tex]x=6\ weeks[/tex] VerifyFor x=6 weeksAlice[tex]y=(6)+8=14\ stars[/tex] Mack[tex]y=2(6)+2=14\ stars[/tex]thereforeIn 14 weeks will they have the same number of good behavior stars