Parker runs a farm stand that sells strawberries and peaches. Each pound of strawberries sells for $1 and each pound of peaches sells for $1.50. Parker sold 3 times as many pounds of strawberries as pounds of peaches and he made $54 altogether. Graphically solve a system of equations in order to determine the number of pounds of strawberries sold, x
,
x, and the number of pounds of peaches sold,
y
y.

the number of pounds of strawberries sold is 14 pounds and the number of pounds of peaches sold is 42 pounds

Step-by-step explanation:

Let x represent the number of pounds of strawberries sold.

Let y represent the number of pounds of peaches sold.

Amelia sold 3 times as many pounds of peaches as pounds of strawberries. This means that

y = 3x

Each pound of strawberries sells for $1 and each pound of peaches sells for $4. She made $182 altogether. This means that

x + 4y = 182 - - - - - - - - - - 1

Substituting y = 3x into equation 1, it becomes

x + 4×3x = 182

x + 12x = 182

13x = 182

x = 182/13 = 14

y = 3x = 3×14 = 42