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?
(14/15)x = 308
x = 308 / (14/15)
x = 308 * (15/14)
x = 4620/14 = 330
oh okay, I see how you got the answer now. Thanks Mrs. Sue :)
You're welcome, Quinten.
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?
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.