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Solving a Real-World Problem
Mr. Martin is giving a math test next period. The test, which is worth 100 points, has 29 problems. Each problem is
worth either 5 points or 2 points. Write a system of equations that can be used to find how many problems of each
point value are on the test.
Let x be the number of questions worth 5 points and let y be the number of questions worth 2 points.
x + y = 29, 5x + 2y = 100
x + y = 100, 5x + 2y = 29
5x + y = 29, 2y + x = 100
2x + y = 100, 5y + x = 29

Respuesta :

Answer:

x + y = 29

5x + 2y = 100

Step-by-step explanation:

Here, we want to set up equations

There are 29 problems, so adding up the number of individual problem types will give 29

x + y = 29 ••••••(i)

Let us work with points now;

x is worth 5 points, y is worth 2 points

Thus, mathematically;

5x + 2y = 100 ••••••••••(ii)

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