Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

① a post office has 48 employees. 6 of the employees are service clerks…

Question

① a post office has 48 employees. 6 of the employees are service clerks, 25 are mail carriers, and the rest are mail sorters. how many mail sorters are there?② if the post office processes an average of 180,000 pieces of mail a day, how many pieces of mail would it process every 30 days?③ there are 25 mail carriers and together they deliver about 180,000 pieces of mail a day. on average, how many pieces of mail is that for each mail carrier?④ eric, a mail carrier, had 18 full bags of mail to deliver today. he already delivered the mail from 6 of the bags. if each bag contains 400 pieces of mail, how many more pieces of mail does he still need to deliver today?⑤ the post office had 15,000 envelopes, but customers purchased 5,704 of the envelopes last week and 6,142 of the envelopes this week. how many envelopes does the post office have left?⑥ a customer wants a box to be delivered. emma, the mail clerk, explains that it will cost $9.45 to deliver the box. if the customer gives emma a 20 - dollar bill to pay for the delivery, how much change should emma give the customer back?

Explanation:

Step1: Find number of mail - sorters

Subtract number of service - clerks and mail - carriers from total employees.
$48-(6 + 25)=48 - 31=17$

Step2: Find total mail processed in 30 days

Multiply daily mail processing by 30.
$180000\times30 = 5400000$

Step3: Find average mail per mail - carrier

Divide total daily mail by number of mail - carriers.
$180000\div25=7200$

Step4: Find remaining mail for Eric

First find number of bags left, then multiply by pieces per bag.
$(18 - 6)\times400=12\times400 = 4800$

Step5: Find remaining envelopes

Subtract total envelopes sold from initial number of envelopes.
$15000-(5704 + 6142)=15000 - 11846=3154$

Step6: Find change for customer

Subtract delivery cost from amount paid.
$20 - 9.45=10.55$

Answer:

  1. 17
  2. 5400000
  3. 7200
  4. 4800
  5. 3154
  6. 10.55