math
posted by ryan .
Anita does laundry every other day. Every five days she changes sheets. Every 15 days she dusts. If she does all three chores today, how many days will it be before she does them all on the same day again?

30 days later. this is like least common multiples... 2, 5, 15. the least common multiple is 30.

Today is Day 1.
She does laundry on days 1, 3, 5, 7, 9, etc.
She changes sheets on days 1, 6, 11, 17, 21, 16, 31, etc.
She dusts on days 1, 16, 31, etc. 
She changes sheets on days 1, 6, 11, 16, 21, 26, 31, etc
Respond to this Question
Similar Questions

math
Rosita earns money by walking dogs after school and on weekends.She walks Madeline every other day,Buddy every fourth day,and Ernie every fifth day.Today she walked all three dogs.Which dogs will Rosita walk 62 days from today? 
math
A grocer gets food from three suppliers. They deliver every 5 days, 6 days and 7 days, respectively. All three came today. When will they all deliver on the same day again? 
math
a clockmacker must wind his clocks on a regular schedule. he winds some of his clock every three days and the remainder of his clocks every five days. how often does he wind all of his clocks on the same day? 
Math
Rosita earns money by walking dogs after school and on weekends. She walks madeline evry other day. Buddy every fourth day, and Ernie every fifth day. Today she walked all three dogs. How many days will it be before Rosita walks Madeline … 
math
A grocer get food from three suppliers. They deliver every 5 days, 6 days, and 7 days, respectively. All three came today. When will they all deliver on the same day again? 
math
George vacuums the rugs every 18 days, mows the grass every 9 days, and pays the bills every 15 days. Today he did all three. How long will it be before he has another day like today? 
Mathematics
George vacuums the rugs every 21 days, mows the grass every 12 days, and pays the bills every 15 days. Today he did all three. How long will it be before he has another day like today? 
Math
I get a black strip every 10 days. A white strip every 20 days, and a red strip every 21 days. I just got all 3 strips. How long 'till I get all of them again on the same day? 
math
john calls his dad every 3 days. Katie calls every 4 days. Jamie calls every 6 days. once in every ________ days, all three will call on the same day. 
math
Jack practices his trunmpet every 3 days. he goes for a run every four days. if he did both today in how many more days will he practice his trumpet and go for a run on the same day. show your work and explain.