please help with explination. this has alreay been answered by oobleck but i still dont understand.
In one store, the ratio of DVDs to videos is 7:5. In another store, the ratio of DVDs to videos is 4:3. Explain why you cannot say which store has more DVDs.
ooblecks answer makes perfect sense to me
I will illustrate with an example
suppose in store1 there are 574 DVDs and and 410 videos
they are in the ratio of 574 : 410 = 7:5
suppose in store 2 there are 500 DVDs and 375 videos
they are in the ratio 500 : 375 = 4:3
clearly store1 has more DVDs
suppose store 1 sells some DVDs and videos and there are now
392 DVDs and 280 videos left.
but the ratio of 392 : 280 is still 7:5
Does it make sense now?
yes thank you reiny
To determine which store has more DVDs, we need to compare the actual quantities of DVDs in each store, rather than just the ratio of DVDs to videos. The ratios provided only indicate the proportion of DVDs to videos in each store, not the actual number of DVDs.
Let's break it down step by step:
In the first store, the ratio of DVDs to videos is 7:5. This means that for every 7 DVDs, there are 5 videos. However, we don't know the actual quantity of DVDs or videos in this store.
Similarly, in the second store, the ratio of DVDs to videos is 4:3, which suggests that for every 4 DVDs, there are 3 videos. Again, we don't know the actual quantities.
Since we don't have any information regarding the actual number of DVDs in each store, we cannot determine which store has more DVDs solely based on the given ratios. To make a comparison, we would need to know either the total number of DVDs or the total number of videos in each store.
Therefore, without additional information, it is not possible to determine which store has more DVDs.