Answer:
After 12.86 days Nick and Perry will have the same amount of money
Step-by-step explanation:
Perrie's can be expressed as;
Total amount Perry will have after t days=Initial amount Perry has-Total amount Perry spends
where;
Initial amount that Perry has=$180
Total amount Perry spends=Amount he spends per day×Number of days=(6×t)=6t
Replacing in the expression;
Total amount Perry will have after t days=(180-6t)
Nick's can be expressed as;
Total amount Nick will have after t days=Initial amount Perry has+Total amount Nick earns
where;
Initial amount that Nick has=$0
Total amount Nick earns=Amount he earns per day×Number of days=(8×t)=8t
Replacing in the expression;
Total amount Nick will have after t days=(0-8t)=8t
Equating Total amount Nick will have after t days to Total amount Perry will have after t days;
180-6t=8t
180=(8t+6t)
14t=180
t=(180/14)=12.86 days
After 12.86 days Nick and Perry will have the same amount of money
