Question

On Monday, Courtney spent 14 minutes solving 1 math problem and 2 biology problems. On Tuesday, Courtney spent 16 minutes solving 2 math problems and 1 biology problem. Write and solve a system of equations to find how long it takes Courtney to solve each math problem and each biology problem

Answer 1

the timing taken to solve each math problem and each biology problem is 4 minutes each respectively

Explanation:

Let us assume the timing taken for math problem be x

And, the time taken for biology problem be y

Now as per the question

The following equations should be considered

x + 2y = 14 .............(1)

2x + y = 16. ...................(2)

Multiply by 2 in equation 1

So,

2x + 4y = 28

2x + y = 16

3y = 12

y = 4 minutes

So, x = 14 - 2(4)

= 12 - 8

= 4 minutes

hence, the timing taken to solve each math problem and each biology problem is 4 minutes each respectively