Question

Gary bought į pound of bait and 8 hooks for $3.75. Kendra spent $6.25 on 1ž pounds of bait and 4 hooks. How much did each item cost? A. $1.75 per lb of bait and $0.50 per hook B. $2.50 per lb of bait and $0.35 per hook C. $3.50 per lb of bait and $0.25 per hook D. $4.00 per lb of bait and $0.10 per hook

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

Gary:

1/2 bait + 8 hooks = $3.75

Kendra:

1 1/2 bait + 4 hooks = $6.25

price bait = ?

price hook = ?

Step 02:

System of equations

x = bait

y = hook

0.5x + 8y = 3.75 eq. 1

1.5x + 4y = 6.25 eq.2

0.5x + 8y = 3.75

1.5x + 4y = 6.25 * (-2)

0.5x + 8y = 3.75

-3x - 8y = -12.5

______________

-2.5 x = - 8.75

x = - 8.75 / - 2.5 = 3.5

0.5x + 8y = 3.75 eq. 1

0.5(3.5) + 8y = 3.75

1.75 + 8y = 3.75

8y = 3.75 - 1.75

y = 2/8 = 1/4 = 0.25

The answer is:

x = $3.5 ===> bait (pound)

y = $0.25 ===> hook (pound)