Gary has guitar lessons every 5 days and band practice
every 4 days. his first band practice is in 4 days and his
first guitar lesson is in 5 days. in 100 days, how many
times will gary have had guitar lessons and band
practice on the same day? explain how you know.

He will have guitar lessons and band practice at the same day 5 times.

Step-by-step explanation:

Hi, to answer this question we have to find the least common multiple (LCM) of both numbers:

5 : 5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100

4: 4,8,12,16,20,24,28,32,36,40,44,48,52,56,60,64,68,72,76,80,84,88,92,96,100

So, the LCM is 20, it means that every 20 days he will have practice and lessons the same day.

If we divide 100 /200 = 5  

He will have guitar lessons and band practice at the same day 5 times.

Feel free to ask for more if needed or if you did not understand something.

the final amount you will pay is $68.04.

the tip is determined by the pre-tax amount, so we calculate the tip based on the original bill, not after we've added sales tax.

to find the tip:

we can divide 54.00 by 100 to get 1% of 54. then we multiply that by 18.

54 / 100 = .54

.54 x 18 = 9.72

tip = 9.72$

to find the tax:

we can divide 54.00 by 100 to get 1% of 54. then we can multiply that by 8 to get 8%.

54 / 100 = .54

.54 x 8 = 4.32

tax= 4.32

now we can add the tip and tax to the bill to get our total.

54 + 9.72 + 4.32 = 68.04

total: $68.04

step-by-step explanation:

look at photo