Question

Pedro buys 4 calculators. what is the cost of one calculator and 5 protractors and spends $35. jacob buys 1 calculator and 7 protractors and spends $14.50. what is the cost of one calculator?

Answer 1

The cost of one calculator is $7.50. From the first piece of information, we know that 4c + 5p = 35. From the second piece of information, we know that c + 7p = 14.50.

Step-by-step explanation:

To find the cost of one calculator, we need to set up a system of equations based on the given information.

Let's use 'c' to represent the cost of one calculator and 'p' to represent the cost of one protractor.

From the first piece of information, we know that 4c + 5p = 35. From the second piece of information, we know that c + 7p = 14.50.

We can solve this system of equations to find the value of 'c'.

Multiply the second equation by 4 to eliminate c when adding:

4c + 28p = 58

Now, subtract the first equation from this new equation:

(4c + 28p) - (4c + 5p) = 58 - 35

23p = 23

Divide both sides of the equation by 23:

p = 1

Now, substitute the value of 'p' into the second equation:

c + 7(1) = 14.50

c + 7 = 14.50

c = 14.50 - 7

c = 7.50

Therefore, the cost of one calculator is $7.50.