Question

tight knit is an online store that sells two different tiers of monthly subscription boxes with knitting supplies. recently, the number of basic subscriptions has been decreasing by 5 each month, while the number of deluxe subscriptions has been increasing by 8 each month. this month, the company had 288 basic subscriptions and 93 deluxe subscriptions. how many months will it take for the number of basic subscriptions to match the number of deluxe subscriptions?
square months

Explanation:

Step1: Set up equation for subscriptions

Let $m$ = number of months. Basic subscriptions: $288 -5m$. Deluxe subscriptions: $93 +8m$. Set equal:
$$288 -5m = 93 +8m$$

Step2: Isolate variable terms

Subtract 93 and add $5m$ to both sides:
$$288 -93 = 8m +5m$$
$$195 =13m$$

Step3: Solve for m

Divide both sides by 13:
$$m = \frac{195}{13}$$

Answer:

15 months