Answer:
7 weeks
Step-by-step explanation:
Joey gets 17 per week
[tex]17x[/tex] with x the number of weeks
he wants to buy a basketball cap that 43.67
[tex]equation\geq 43.67[/tex]
he has already saved 22.22
[tex]+22.22[/tex]
has to pay 13.45 each week
[tex]-13.45x[/tex]
[tex]17x+22.22-13.45x\geq 43.67\\\\(17x-13.45x)+22.22\geq 43.67\\\\3.55x+22.22\geq 43.67\\\\3.55x\geq 43.67-22.22\\\\3.55x\geq 21.45\\\\x\geq \frac{21.45}{3.55} \\\\x\geq 6.04...[/tex]
but we don't wake a 0.4 of a week so we need the next whole number 7
so it will take 7