Question

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

Answer 1

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

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