A local charity run has a Youth Race for runners under the age of 12. The entry fee is $5 for an individual or $4 each for two runners from the same
family. Carter is collecting the registration forms and fees. After everyone
has registered, he picks up the cash box and finds a dollar on the ground. He
checks the cash box and finds that it contains $200 and the registration slips
for 47 runners. Does the dollar belong in the cash box or not? Explain your
reasoning