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Contemporary Mathematics for Busin...

8th Edition
Robert Brechner + 1 other
ISBN: 9781305585447

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BuyFindarrow_forward

Contemporary Mathematics for Busin...

8th Edition
Robert Brechner + 1 other
ISBN: 9781305585447
Textbook Problem

According to the Food and Nutrition Service of the U.S. Department of Agriculture, in one school year the National School Lunch Program (NSLP) served 31.2 million school lunches. Of these, 16.1 million students received free lunches, 3.2 million received lunches at a reduced price, and 11.9 million paid full price for their lunches.

The federal government reimburses school districts $2.68 for each free lunch, $2.28 for each reduced-price lunch, and $0.25 for each paid lunch. In addition to cash reimbursements, schools are entitled to receive USDA foods called “entitlement” foods at a value of 19.50 cents for each lunch served.

You are the administrator in charge of the school lunch program for your school district. Last month the schools in your district served 25,000 free lunches, 15,000 “reduced-price” lunches, and 50,000 regular-priced served.

You are the administrator in charge of the school lunch program for your school district. Last month the schools in your district served 25,000 free lunches, 15,000 “reduced-price” lunches, and 50,000 regular-priced lunches.

Calculate the amount of reimbursement you expect to receive from the NSLP for last month.

In addition to the lunch reimbursement, the NSLP program pays your district $.035 per one-half pint of milk served with each meal. If each student averaged 1 one-half pint of milk per meal, calculate the total amount of milk reimbursement you expect for last month.

The Bottom Line – What is the total amount of reimbursement your district will receive for last month?

Red Tape – The government paperwork you must submit requires that you report the average reimbursement per student for both lunch and milk combined last month. Calculate this amount.

Chapter 3.II, Problem 46RE, According to the Food and Nutrition Service of the U.S. Department of Agriculture, in one school

The National School Lunch Program (NSLP) is a federally assisted meal program operating in public and nonprofit private schools and residential child care institutions. It provides nutritionally balanced, low-cost or free lunches to children each school day. The program was established under the National School Lunch Act and signed by President Harry Truman in 1946.

(a)

To determine

To calculate: The amount of reimbursement to be received from the NSLP for the last month, if by the federal government reimbursement to school district for each free lunch is $2.68, for each reduced-price lunch is $2.28 and for each paid lunch is $0.25. Last month 25,000 free lunches, 15,000 reduced-price lunches and 50,000 regular-price lunches served in school.

Explanation

Given Information:

The provided number of free lunches, reduced-price lunches and regular-price lunches served are 25,000, 15,000 and 50,000 respectively. Reimbursement to school district for each free lunch is $2.68, for each reduced-price lunch is $2.28 and for each paid lunch is $0.25.

Formula used:

To multiply decimal numbers:

Step 1: Multiply the numbers as whole numbers are multiplied by ignoring the decimal points.

Step 2: Count the number of decimal places in the multiplier and multiplicand together.

Step 3: Put the decimal point in the product by counting decimal places as counted in step 2.

To add whole numbers.

Step 1: Line up the place values by writing the whole numbers in columns.

Step 2: Starting from the right add the digits column wise.

Step 3: If the sum of digits in a column is greater than nine, write the units digit and carry the tens digit to the next column.

Calculation:

Consider the reimbursement and number of free lunches served,

$2.68 and 25,000

Now to find total reimbursement for free lunches multiply them as whole numbers are multiplied,

25,000×       2.68_2000 00 15000 0  50000     _67,000 00__

Here the number of decimal places in 25,000 is 0 and in 2.68 is 2, so the total number of decimal places is 2.

Now put the decimal point in the product to have 2 decimal places,

25,000×       2.68_2000 00 15000 0  50000     _67,000.00__

So, the total reimbursement for free lunches is $67,000.

Now consider the reimbursement and number of reduced-price lunches served,

$2.28 and 15,000

Now to find total reimbursement for reduced-price lunches multiply them as whole numbers are multiplied,

15,000×       2.28_1200 00 3000 0  30000     _34,200 00__

Here the number of decimal places in 15,000 is 0 and in 2.28 is 2, so the total number of decimal places is 2.

Now put the decimal point in the product to have 2 decimal places,

15,000×       2

(b)

To determine

To calculate: The amount of reimbursement to be received for milk, if the NSLP pays the district $.035 per one-half pint of milk served with each meal.

(c)

To determine

To calculate: The total amount of reimbursement to be received by the district for the last month.

(d)

To determine

To calculate: The amount of average reimbursement for both lunch and milk together per student last month.

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