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madreJ [45]
4 years ago
9

You are the CEO and Manager of MathFair (a Math based theme park, obviously) that charges: children $2, adults $5, and vets $3.

You are looking over the books for last weekend. 1,900 people came to the park. You took in $6,300. There were 100 unaccompanied children (that is, the number of children was 100 more than the number of adults and vets combined). How many children, adults, and vets visited Math Fair last weekend
Business
1 answer:
katovenus [111]4 years ago
6 0

Answer:

700 adults

800 children

400 vets

Explanation:

children $2

adults $5

vets $3

1,900 came to the park, total revenue = $6,300

number of children was 100 more than adults

Let:

C = number of children

A = number of adults

V = number of vets

2C + 5A + 3V = 6,300

C + A + V = 1,900

C = A + 100 (we can replace C with A)

2(A + 100) + 5A + 3V = 6,300 ⇒ 2A + 200 + 5A + 3V = 6,300

7A + 3V = 6,100

A + 100 + A + V = 1,900 ⇒ 2A + V + 100 = 1,900

2A + V = 1,800

7A + 3V = 6,100

2A + V = 1,800 ⇒ V = 1,800 - 2A  (we can replace V)

7A + 3 (1,800 - 2A) = 6,100

7A + 5,400 - 6A = 6,100

A = 6,100 - 5,400 = 700

C = A + 100 = 800

V = 1,900 - 700 - 800 = 400

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Nelson Company

a. Adjusting Journal Entries:

Debit Supplies Expense $2,700

Credit Supplies $2,700

To record supplies expense.

Debit Insurance Expense $1,650

Credit Prepaid Insurance $1,650

To record insurance expense.

Debit Depreciation Expense $1,625

Credit Accumulated Depreciation $1,625

To record depreciation expense.

b. Multi-step Income Statement for the year ended January 31, 2017:

Sales                                                                  $114,550

Sales returns and allowances                               2,000

Net Sales                                                             112,550

Cost of goods sold                  38,000

Inventory Shrinkage                  3,700                 41,700

Gross profit                                                       $70,850

Depreciation expense- Store    1,625

Sales discounts                          1,850

Salaries expense                     13,600  

Rent expense                           6,000

Store supplies expense           2,700

Advertising expense                9,700

Total selling expenses                         $35,475

Administrative Expenses:

Salaries expense                    13,600

Insurance expense                   1,650

Rent expense                          6,000

Total administrative expenses           $21,250   $56,725

Net Income                                                            $14,125

c. Single-step Income Statement for the year ended January 31, 2017:

Sales                                                                  $114,550

Sales discounts                          1,850

Sales returns and allowances  2,000

Cost of goods sold                  38,000

Inventory Shrinkage                  3,700

Depreciation expense- Store    1,625

Salaries expense                    27,200  

Rent expense                          12,000

Store supplies expense           2,700

Advertising expense                9,700

Insurance expense                   1,650               $100,425

Net Income                                                           $14,125

d. Current Ratio = Current Assets/Current Liabilities

= $22,700/$16,000

= 1.42

Acid-test ratio = (Current assets - Inventory)/Current Liabilities

= ($22,700 -10,800)/$16,000

= 0.74

Gross margin ratio = Gross profit/Net Sales = $70,850/112,550 * 100

= 63%

Explanation:

a) Data and Calculations:

NELSON COMPANY Unadjusted Trial Balance January 31, 2017

                                                    Debit           Credit

Cash                                           $8,150

Merchandise inventory             14,500

Store supplies                             5,500

Prepaid insurance                       2,600

Store equipment                       42,800

Accumulated depreciation -Store equipment $17,850

Accounts payable                                               16,000

J. Nelson, Capital                                                18,000

J. Nelson, Withdrawals               2,100

Sales                                                                  114,550

Sales discounts                          1,850

Sales returns and allowances  2,000

Cost of goods sold                 38,000

Depreciation expense- Store equipment 0

Salaries expense                    27,200

Insurance expense                   0

Rent expense                         12,000

Store supplies expense          2,700

Advertising expense               9,700

Totals                                 $166,400              $166,400

Adjustments:

Supplies Expense $2,700 Supplies $2,700

Insurance Expense $1,650 Prepaid Insurance $1,650

Depreciation Expense $1,625 Accumulated Depreciation $1,625

NELSON COMPANY

Adjusted Trial Balance January 31, 2017

                                                    Debit           Credit

Cash                                           $8,150

Merchandise inventory             10,800

Store supplies                             2,800

Prepaid insurance                          950

Store equipment                       42,800

Accumulated depreciation -Store equipment $19,475

Accounts payable                                               16,000

J. Nelson, Capital                                                18,000

J. Nelson, Withdrawals               2,100

Sales                                                                  114,550

Sales discounts                           1,850

Sales returns and allowances   2,000

Cost of goods sold                  38,000

Inventory Shrinkage                  3,700

Depreciation expense- Store    1,625

Salaries expense                    27,200

Insurance expense                    1,650

Rent expense                          12,000

Store supplies expense           2,700

Advertising expense                9,700

Totals                                  $168,025              $168,025

Current Assets:

Cash                                           $8,150

Merchandise inventory             10,800

Store supplies                             2,800

Prepaid insurance                         950

Total current assets =             $22,700

Current Liabilities:

Accounts payable                   16,000

7 0
3 years ago
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