Dr. Jensen, a pediatrician, has 3 annual checkups and 1 sick visit scheduled next
Tuesday, which will fill a total of 167
minutes on her schedule. Next Wednesday,
she has 1 annual checkup and 1 sick visit
on the schedule, which should take 75
minutes. How much time is allotted for
each type of appointment?
minutes for an
minutes for a
The time allotted is
annual checkup and
sick visit

The time allotted is 46 minutes for an annual checkup and 29 minutes for a sick visit

Step-by-step explanation:

System of Equations

It's required to write and solve a system of equations to model the situation of Dr. Jensen. Let's call the following variables:

x = time allotted for annual checkups

y = time allotted for sick visit

Dr. Jensen has 3 annual checkups and 1 sick visit for a total of 167 minutes on her schedule, thus:

3x + y = 167      [1]

It's also given she has 1 annual checkup and 1 sick visit on her schedule for a total of 75 minutes, thus:

x + y = 75        [2]

We'll solve the system formed by equations [1] and [2] using the elimination method.

Subtract [1] and [2]:

3x - x = 167 - 75

2x = 92

Divide by 2:

x = 46

Substitute in [2]:

46 + y = 75

Subtract 46:

y = 75 - 46 = 29

y = 29

The time allotted is 46 minutes for an annual checkup and 29 minutes for a sick visit

6mm^3 or .6cm^3

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      /   \

  36     6

  /   \     /

6     6   6

factor trees are nice.

step-by-step explanation: