Video Transcript
Daniel is making shakers for a
kindergarten music class. It takes him five minutes to get
the yoghurt pots, lentils, glue, and glitter out and at least three minutes to make
and decorate one shaker. He has three-quarters of an hour to
make some shakers. Write an inequality for 𝑛, the
number of shakers he can make in that time.
We are told that it takes Daniel
three minutes to make and decorate one shaker. As we are letting the number of
shakers be 𝑛, this is equal to three 𝑛, three multiplied by the number of
shakers. It also takes Daniel five minutes
to prepare in order to get out the yoghurt pots, lentils, glue, and glitter. Adding five to three 𝑛 gives us
three 𝑛 plus five.
We are told that he has a maximum
of three-quarters of an hour to make the shakers. This is equal to 45 minutes. Writing this as an inequality, we
have three 𝑛 plus five is less than or equal to 45. This is the inequality for 𝑛, the
number of shakers that Daniel can make in three-quarters of an hour.
Whilst we don’t need to in this
question, we could solve this inequality using the balancing method. We would begin by subtracting five
from both sides. This gives us three 𝑛 is less than
or equal to 40. We then divide by three, giving us
𝑛 is less than or equal to 40 divided by three. 40 divided by three is equal to 13
and a third or 13.3 recurring.
As the number of shakers, our value
for 𝑛, has to be an integer value, we can conclude that Daniel could make 13
shakers in three-quarters of an hour.
