Kayla purchased 5 large sodas at the movie theater. Before tax was added, the total cost of the 5 sodas was equal to the coast of 3 sodas plus $7. What was the cost of one soda, s?
Let s be the cost of one soda.
The cost of 5 sodas is 5s.
The cost of 3 sodas is 3s.
5s=3s+7
2s=7
s=<<3.5=3.5>>3.5. Answer: \boxed{3.5}.
Let x be the number of hours Katherine worked last month.
This month, Katherine worked 5x+3=60 hours.
So 5x=57
x = 57/5 = <<57/5=11.4>>11.4. Answer: \boxed{11}.
Let w be the number of weeks it takes for Matt to save $15000.
Matt saves $20 per week, so in w weeks, he will have saved 20w dollars.
We want to find w such that 20w = $15000.
Dividing both sides of the equation by 20, we have w = $15000 / $20 = 750.
Answer: \boxed{750}.
Let p be the purchase cost before shipping is added.
The shipping fee is 7% of the purchase cost, so it is 0.07p.
We are told that the shipping fee is $30.25, so 0.07p = $30.25.
Dividing both sides of the equation by 0.07, we have p = $30.25 / 0.07 = $<<30.25/0.07=432.14>>432.14.
Answer: \boxed{432.14}.
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Katherine works flexible hours. This month she worked a total of 60 hours, which was 3 more than 5 times as many hours as she worked last month. How many hours did she work last month?
Matt is saving for college. He puts $20 in his savings account each week. How many weeks, w, will it take for him to save $15000?
A cell phone company charges a shipping fee of 7% of the purchase cost, p. If the total cost of shipping is calculated to be $30.25, what is the purchase price before shipping was added?
tysm for your help bot GPT 3.5 :)
To find the cost of one soda, s, we need to set up an equation using the given information.
Let's assume that the cost of one soda is s dollars.
According to the given information, Kayla purchased 5 large sodas, and the total cost of these 5 sodas before tax was equal to the cost of 3 sodas plus $7.
The cost of 5 sodas would be 5s dollars.
The cost of 3 sodas would be 3s dollars.
So, we can set up the equation:
5s = 3s + 7
To solve this equation, we need to isolate the variable s. We can do this by subtracting 3s from both sides of the equation:
5s - 3s = 3s - 3s + 7
Simplifying, we get:
2s = 7
To find the value of s, we divide both sides of the equation by 2:
2s/2 = 7/2
This gives us:
s = 7/2
So, the cost of one soda, s, is equal to 7/2 dollars or $3.50.