Casey has a small business making dessert baskets. She estimates that her fixed weekly costs for rent and electricity are $200. The ingredients for one dessert basket costs $2.50. If Casey made 40 baskets this past week, what were her total weekly costs? Her total costs for the week before 562.50. How many dessert baskets did she make the week before?

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JeanaShupp JeanaShupp · Answer 1 · 2019-10-16T06:54:13+02:00

Answer: Total costs for 49 baskets = $300

She make 145 dessert baskets the week before.

Step-by-step explanation:

Given : Fixed weekly costs for rent and electricity = $200

The ingredients for one dessert basket costs = $2.50

Let x be the number of baskets made by Casey, then the total weekly cost will be :-

Total weekly costs = Fixed weekly cost + Cost of ingredients for one dessert × x

= 200+2.5x

For x= 40

Total weekly costs = $200+$2.5(40)=$200+$100=$300

i.e. Total costs for 49 baskets = $300

Her total costs for the week before 562.50.

i.e. [tex]562.50= 200+2.5x[/tex]

Subtract 200 from both sides.

[tex]362.50=2.5x[/tex]

Divide 2.5 from both sides.

[tex]x=\dfrac{362.50}{2.5}=145[/tex]

Hence, she make 145 dessert baskets the week before.