Question

Alex and Finn visited a candy shop. Alex spent $27.90, while Finn spent $31.95. This table shows what they purchased. Fudge (lb.) Taffy (lb.) Alex 3 4 Finn 5.5 2 Select the system of equations that represents this situation. Let f represent the price of fudge and let t represent the price of taffy, both in dollars per pound.

Answer 1

The system of equations that represents this situation is 3f + 4t = 27.90 and 5.5f + 2t = 31.95

How to determine system of equations that represents this situation

From the question, we have the following parameters that can be used in our computation:

Alex = $27.90

Finn = $31.95

Also, we have

Fudge (lb.) Taffy (lb.)

Alex 3 4

Finn 5.5 2

From the question, we have

f represent the price of fudge

t represent the price of taffy

This means that

Alex = 3f + 4t

Finn = 5.5f + 2t

Using the total amuonts, we have

3f + 4t = 27.90

5.5f + 2t = 31.95

Hence, the system is 3f + 4t = 27.90 and 5.5f + 2t = 31.95