For every 4 jumping jacks Lauren did during the physical fitness test, Jason did 3. Lauren was able to do 10 more jumping jacks than Jason. How many jumping jacks did Jason do?
L/J = 4/3
L = J+10
Hmmm. Looks like 40 and 30, huh?
For every 8 chin-ups that Doug did during the physical fitness test,Adam did 3. Doug was able to do 15 more chin ups than Adam. How may chin-ups did Adam do?
set up the equations just as I did, using your new numbers.
To find out how many jumping jacks Jason did, we need to determine the ratio of the number of jumping jacks done by Lauren to the number done by Jason.
According to the question, for every 4 jumping jacks Lauren did, Jason did 3. This means the ratio of Lauren's jumping jacks to Jason's jumping jacks is 4:3.
Since Lauren was able to do 10 more jumping jacks than Jason, we can express this difference in terms of the ratio. For every 4 jumping jacks, the corresponding difference is 10.
To find out how many sets of 4 jumping jacks are required to make a difference of 10, we divide 10 by the corresponding difference for 4 jumping jacks: 10 ÷ 4 = 2.5
However, it's not possible for Jason to do half of a jumping jack, so we consider the next highest whole number, which is 3. Therefore, we multiply the ratio between Lauren and Jason by 3 to find the number of jumping jacks Jason did:
3 (Jason's ratio in the 4:3 ratio) × 3 (the number of sets of 4 jumping jacks) = 9
Therefore, Jason did 9 jumping jacks.