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Vaselesa [24]
3 years ago
14

Kevin runs a farm stand that sells apples and raspberries. Each pound of apples sells for $3.50 and each pound of raspberries se

lls for $4. Kevin sold twice as many pounds of raspberries as pounds of apples and he made $115 altogether. Determine the number of pounds of apples sold and the number of pounds of raspberries sold
Mathematics
1 answer:
krek1111 [17]3 years ago
5 0

Kevin sold 10 pounds of apples and 20 pounds of raspberries.

Step-by-step explanation:

Given,

Cost per pound of apples = $3.50

Cost per pound of raspberries = $4

Total amount earned = $115

Let,

x represent the pounds of apples sold

y represent the pounds of raspberries sold

According to given statement;

3.50x+4y=115     Eqn 1

y = 2x                  Eqn 2

Putting value of y from Eqn 2 in Eqn 1

3.50x+4(2x)=115\\3.50x+8x=115\\11.50x=115

Dividing both sides by 11.50

\frac{11.50x}{11.50}=\frac{115}{11.50}\\x=10

Putting x=10 in Eqn 2

y=2(10)\\y=20

Kevin sold 10 pounds of apples and 20 pounds of raspberries.

Keywords: linear equation, substitution method

Learn more about linear equations at:

  • brainly.com/question/4279146
  • brainly.com/question/4354581

#LearnwithBrainly

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A competitive knitter is knitting a circular place mat. The radius of the mat is given by the formula
Ilia_Sergeevich [38]

Answer: A. A'(t)=\frac{4356\pi}{(t+11)^{3}}-\frac{527076\pi}{(t+11)^{5}}

              B. A'(5) = 1.76 cm/s

Step-by-step explanation: <u>Rate</u> <u>of</u> <u>change</u> measures the slope of a curve at a certain instant, therefore, rate is the derivative.

A. Area of a circle is given by

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So to find the rate of the area:

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\frac{dr}{dt}=\frac{726}{(t+11)^{3}}

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\frac{dA}{dt}=\frac{4356\pi}{(t+11)^{3}} -\frac{527076\pi}{(t+11)^{5}}

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A'(5)=\frac{4356\pi}{4096} -\frac{527076\pi}{1048576}

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