Question

josh and jason are putting money in their piggy banks. josh has already saved $30 and he can add $5 each week. jason hasnt saved any money yet, but he can add $8 each week. how long will it take jason to have saved at least as much money as josh?
let x represent the minimum number of weeks josh needs to save.
write an inequality to represent the situation. then solve the inequality.
use the keypad to enter the answers in the boxes.
an inequality to represent the situation is
it will take weeks for jason to have at least as much money as josh.

Explanation:

Step1: Define savings expressions

Josh's total savings: $30 + 5x$
Jason's total savings: $8x$

Step2: Set up inequality

We want Jason's savings ≥ Josh's savings:
$$8x \geq 30 + 5x$$

Step3: Isolate x term

Subtract $5x$ from both sides:
$$8x - 5x \geq 30$$
$$3x \geq 30$$

Step4: Solve for x

Divide both sides by 3:
$$x \geq \frac{30}{3}$$
$$x \geq 10$$

Answer:

An inequality to represent the situation is $8x \geq 30 + 5x$.
It will take $\boldsymbol{10}$ weeks for Jason to have at least as much money as Josh.