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Pani-rosa [81]
2 years ago
7

Maya, Ahmad, and Joe served a total of 75 orders Monday at the school cafeteria. Joe served 2 times as many orders as Maya. Ahma

d served 5 fewer orders
than Maya. How many orders did they each serve?
Mathematics
1 answer:
Basile [38]2 years ago
5 0

Total number of orders served by Maya, Ahmad and Joe on Moday = 75

Let the number of orders Maya served be x.

Then :

Number of orders Joe served = 2x

Number of orders Ahmad served = x - 5

This can be written in an equation as :

\tt \: 2x + x - 5 + x = 75

= \tt 4x - 5 = 75

= \tt 4x = 75 + 5

= \tt 4x  = 80

=  \tt \:  x =  \frac{80}{4}

=  \tt \: x = 20

Which means :

Number of orders Joe served :

= 2 × 20

= 40

Thus, Joe served 40 orders.

Number of orders Maya served = 20

Number of orders Ahmad served :

= 20 - 5

= 15

Thus, Ahmad served 15 orders.

<h2>Therefore, </h2>
  • Maya served 20 orders
  • Ahmad served 15 orders
  • Joe served 40 orders.
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Understand that every triangle has three angles and they add up to 180 degrees.

If I split this triangle in half the total degrees of each individual piece will be 90 degrees. A split in the isosceles triangle will also cause the 40 degrees to halved (thus, how I got 20 degrees in our 90 triangle).

Since we are dealing with an isosceles triangles two of the sides will be equal (hence, the dashes on the triangles sides). Therefore, x and y will also be equal.

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