QuestionProblem Situation: Ike has $\$ 126$ in his bank account. He gets $\$ 20$ for his birthday. He also has a part-time job that pays $\$ 8$ per hour. How many hours will he need to work to have $\$ 250$ in his bank account?
Choose the equation that correctly models the situation. The letter $h$ represents the hours lke will need to work. CleAR CHECK $\begin{array}{lc} (250-126) h=20+8 & \\ & \\ 126+20+8 h=250 & \\ 250+126+20+8+250=h \\ 120+8 h \end{array}$

Studdy Solution

STEP 1

1. Ike currently has $\$ 126$ in his bank account.
2. Ike receives an additional $\$ 20$ for his birthday.
3. Ike earns $\$ 8$ per hour from his part-time job.
4. The goal is for Ike to have $\$ 250$ in his bank account.
5. We need to find the equation that models the number of hours, $h$ , Ike needs to work to reach his goal.

STEP 2

1. Determine the total amount Ike needs to earn to reach his goal.
2. Set up the equation based on the information provided.
3. Identify the correct equation from the given options.

STEP 3

Determine the total amount Ike needs to earn to reach his goal.
To find out how much more money Ike needs, subtract his current total (including the birthday money) from his goal:
$\text{Total needed} = 250 - (126 + 20)$

STEP 4

Set up the equation based on the information provided.
The amount Ike needs to earn from his job is equal to the total amount needed, which can be represented as:
$8h = 250 - (126 + 20)$

STEP 5

Identify the correct equation from the given options.
The correct equation that models the situation is:
$126 + 20 + 8h = 250$
This equation represents Ike's current balance plus his birthday money plus his earnings from working $h$ hours to reach $\$ 250$ .

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