Without solving, predict if the problem involves finding common multiples or finding common factors.
Diego and Andre are both in a summer soccer league. During the month of
August, Diego has a game every 3rd day, starting August 3rd, and Andre has a game
every 4th day, starting August 4th.
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Without solving, predict if the problem involves finding common multiples or finding common factors.
During a performing arts festival, students from elementary and middle
schools will be grouped together for various performances. There are 32 elementary
students and 40 middle-school students. The arts director wants identical groups for
the performances, with students from both schools in each group. Each student can be
a part of only one group.
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Without solving, predict if the problem involves finding common multiples or finding common factors.
There is a string of holiday lights with red, gold, and blue lights. The red lights
are set to blink every 12 seconds, the gold lights are set to blink every 8 seconds, and
the blue lights are set to blink every 6 seconds. The lights are on an automatic timer
that starts each day at 7:00 p.m. and stops at midnight.
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Tom has two pieces of cloth. He is making square banners for students to hold during the opening day game. One piece of cloth is 72 inches wide. The other is 90 inches wide. He wants to use all the cloth, and each square banner must be of equal width and as wide as possible.
A) How wide should he cut the banners?
B) How many banners can he cut?
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At Kelly’s dance recital her performance begins with a line of 48 dancers that perform in the dark with a black light that illuminates white clothing. All 48 dancers enter the stage in a straight line. Every 3rd dancer wears a white headband, every 5th dancer wears a white belt, and every 9th dancer wears a set of white gloves.
A) If Elena is the 30th dancer, what accessories will she wear?
B) Will any of the dancers wear all 3 accessories? If so, which one(s)?
C) How many of each accessory will the dance teacher need to order?