The cafeteria manager told Kristen that students take 3 packages of apples for every 2 packages of carrots that are taken. In a month when the cafeteria expects to serve 1000 meals that each have either apples or carrots, how many of each should they plan on using?

In which of the situations can information about tyler be represented by the expression r+3 when r represents information about ray? check all that apply.

Aswimming pool has an input pump for filling the pool and an output pump for emptying the pool. the input pump can fill the pool in 3 hours, and the output pump can drain the pool in 5 hours. as you go to bed, the pool is full, but a neighbor’s kid turns on the output pump. at midnight, you awake to find the pool half empty. immediately, you turn on the input pump, but you are sleepy and forget to turn off the output pump. at what time will the pool become full?

Abike shop sells you a bicycle for $63 and a helmet for $21. the total cost is 150% of what the shop spent originally. how much did the shop spend originally? how much profit did the bike shop earn by selling the bicycle and helmet to you ?