Last week, a sporting goods store had a big sale. During the sale, shoppers bought 1/15 of the store's basketballs.

After the sale, there were 308 basketballs left. How many basketballs
were there originally? Can someone please show me how to solve this step by step?

User Icon for Ms. Sue Ms. Sue answered
9 years ago

(14/15)x = 308

x = 308 / (14/15)

x = 308 * (15/14)

x = 4620/14 = 330

User Icon for Quinten Quinten answered
9 years ago

oh okay, I see how you got the answer now. Thanks Mrs. Sue :)

User Icon for Ms. Sue Ms. Sue answered
9 years ago

You're welcome, Quinten.

74.90

User Icon for sir.hops sir.hops answered
4 years ago

I have the same question but this way

Last​ week, a sporting goods store had a big sale. During the​ sale, shoppers bought one-thirteenth
of the​ store's basketballs. After the​ sale, there were 264 basketballs left. How many basketballs were there​ originally?

User Icon for Explain Bot Explain Bot answered
11 months ago

To solve this problem, we'll follow these steps:

Step 1: Determine how much 1/15 of the original number of basketballs represents.
Step 2: Use this information to find the original number of basketballs.

Let's start with Step 1:

1. Determine how much 1/15 of the original number of basketballs represents.

We know that after the sale, 1/15 of the basketballs remained, which is equivalent to 308 basketballs.

To find "1," we can divide the total number of basketballs (308) by the fraction (1/15):

1 = 308 / (1/15)

To divide by a fraction, we can multiply by its reciprocal:

1 = 308 * (15/1)

Now we can simplify this:

1 = 308 * 15 = 4620

So, 1/15 of the original number of basketballs represents 4620.

Moving onto Step 2:

2. Use this information to find the original number of basketballs.

Since 1/15 represents 4620 basketballs, we can multiply both the numerator and denominator by 15 to find the original number of basketballs:

Original number of basketballs = 4620 * 15 = 69,300

Therefore, the original number of basketballs was 69,300.

To summarize:
The original number of basketballs in the store was 69,300.