Adeli is offering a special for its sandwiches. a customer will receive three free sandwiches for every five sandwiches purchased. jane ordered 675 sandwiches for an office party at a large company. how many sandwiches did jane have to pay for?

We see that for every 8 sandwiches that the customer needs, he will pay for 5. Lets see how many groups of 8 sandwiches the order of 675 sandwiches contains. If we do Euclidean Division we see that there are 84 groups of 8 and that three sandwiches are the remainder. 675/8=84.375; Hence we have 84 groups and 0.375*8=3 sandwiches that remain. Thus, the customer would play for 84*5= 420 sandwiches if he had ordered 84 groups of 8 (namely 672 sandwiches). Since he needs another 3 sandwiches and there is no promotional offer for those, he will have to pay in total for 423 sandwiches. It is important to not divide the total number by 8 and then multiply it by 5; the customer gets the free sandwiches only if he completes an offer of 5 sandwiches, thus we have to group the sandwiches in octads and deal with the remainder separately.

In the 10th grade, i was teamed up in a group of four. our project was on modern history. altho it seemed super hard for many of us. patrick fleming  took charge and showed us the understanding of this project.  his leadership showed great ethics and it taught me, personally, how to others understand, not just to show them, but explain it thoroughly. and altho he was a great teacher i would have changed a few things. one being his attitude. many times he would get frustrated and impatient with the group.  i think  a leader i would have done exactly  what he did but with much more patience and be there more to explain. such as lunch  learning. and giving everybody a chance to try to explain it in their  head.