Marta’s customer bought 4 large oranges at $0.75 each and 8 small oranges at $0.50 each plus tax was a total of $7.49. She used t to represent the amount of tax. Explain her errors in the diagram.

Respuesta :

Given:
4 large oranges @ 0.75 each
8 small oranges @ 0.50 each
total amount paid: 7.49 including sales tax.

4(0.75) = 3.00
8(0.50) = 4.00

3 + 4 = 7 
7 + t = 7.49
t  = 7.49 - 7
t  = 0.49 total amount of tax paid.

0.49/7 = 0.07 sales tax rate

the sales tax rate is 7%

4(0.75) + 8(0.5) = 7
7 x 0.07 = 0.49
7 + 0.49 = 7.49

The given error is T should not have been in the top box, the top box should have had 7.49 in it.

Given:

Cost for large orange = 0.75each

Cost for small orange = 0.50each

Total amount paid = 7.49 including sales tax.

According to the equation,

Cost for 4 large oranges = (4).(0.75) = 3.00

Cost for 8 small oranges =  (0.50).(8) = 4.00

Total amount paid = 7.49 including sales tax.

Total amount paid including sales tax = Tax + Cost for 4 large oranges + Cost for 8 small oranges.

= 3 + 4 + t = 7  

= 7 + t = 7.49

= t = 7.49 - 7

= t = 0.49 total amount of tax paid.

Sales tax % = Total tax ÷ Total cost of oranges

Sales tax = [tex]\frac{0.49}{7}[/tex] = 0.07 sales tax rate

The sales tax rate is 7%.

Then,

(count of large orange)(cost of large orange) + (count of small orange)(cost of small orange) = 4(0.75) + 8(0.5) = 7

So, (Total count of oranges)(sales tax) = 7 x 0.07 = 0.49

Total paid amount = 7 + 0.49 = 7.49

T should not have been in the top box the top box should have had 7.49 in it.

For more information about System of equation click the link given below.

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