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sp2606 [1]
3 years ago
12

Dr. Jensen, a pediatrician, has 3 annual

Mathematics
1 answer:
grigory [225]3 years ago
4 0

Answer:

<em>The time allotted is 46 minutes for an annual checkup and 29 minutes for a sick visit</em>

Step-by-step explanation:

<u>System of Equations</u>

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

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