Question

Jan and Wayne went to the store to buy some groceries. Jan bought 2 cans of corn beef hash and 3 cans of creamed chipped beef for 4.95. Wayne bought 3 cans of corn beef hash and 2 cans of creamed chipped beef for5.45. Let h represent the price of a can of corn beef hash, and c represent the price of a can of creamed chipped beef. Which system of equations models the word problem on the left?

1) c = 2c = 4.95, 2h + 3c = 5.45
2) 2h + 2c = 4.95, 3h + 3c = 5.45
3) 2h + 3c = 4.95, 3h + 2c = 5.45
4) 3h + 3c = 4.95, 3h + 2c = 5.45

Answer 1

The correct system of equations is 2h + 3c = 4.95 and 3h + 2c = 5.45.

Step-by-step explanation:

The system of equations that models the word problem is:

1. 2h + 3c = 4.95
2. 3h + 2c = 5.45

Let's break down the problem:

We are given the prices for cans of corn beef hash (h) and creamed chipped beef (c) that Jan and Wayne bought. Jan bought 2 cans of corn beef hash and 3 cans of creamed chipped beef for $4.95, which gives us the equation 2h + 3c = 4.95. Wayne bought 3 cans of corn beef hash and 2 cans of creamed chipped beef for $5.45, which gives us the equation 3h + 2c = 5.45.

Therefore, the correct system of equations is 2h + 3c = 4.95 and 3h + 2c = 5.45.