+1495 Help Me Please
Solve the word Problem
At a local grocery store, 7 pounds of apple and 3 pounds of grapes cost $15.18;
and 5 pounds of apples and 5 pounds of grape costs $16.50.
What is the cost of each per pounds?
+9479 If 1 pound of apples costs 5 dollars, then 2 pounds of apples costs 5 + 5 dollars, or 2 * 5 dollars.
If 1 pound of apples costs A dollars, then 7 pounds of apples costs 7A dollars.
If 1 pound of grapes costs G dollars, then 3 pounds of grapes costs 3G dollars.
7 pounds of apples and 3 pounds of grapes cost 15.18 dollars.
7A + 3G = 15.18
Let's solve this equation for G . Subtract 7A from both sides.
3G = 15.18 - 7A
Divide through by 3 .
G = 5.06 - 7A/3
5 pounds of apples and 5 pounds of grapes costs 16.50 dollars.
5A + 5G = 16.50
Substitute 5.06 - 7A/3 in for G .
5A + 5(5.06 - 7A/3) = 16.50
Distribute the 5 to the terms in parenthesees.
5A + 25.3 - 35A/3 = 16.50
Subtract 25.3 from both sides of the equation.
5A - 35A/3 = -8.8
A(5 - 35/3) = -8.8
A( -20/3 ) = -8.8
Multiply both sides of the equation by -3/20 .
A = 1.32
Use this value for A to find G .
G = 5.06 - 7(1.32)/3
G = 1.98
+9479 If 1 pound of apples costs 5 dollars, then 2 pounds of apples costs 5 + 5 dollars, or 2 * 5 dollars.
If 1 pound of apples costs A dollars, then 7 pounds of apples costs 7A dollars.
If 1 pound of grapes costs G dollars, then 3 pounds of grapes costs 3G dollars.
7 pounds of apples and 3 pounds of grapes cost 15.18 dollars.
7A + 3G = 15.18
Let's solve this equation for G . Subtract 7A from both sides.
3G = 15.18 - 7A
Divide through by 3 .
G = 5.06 - 7A/3
5 pounds of apples and 5 pounds of grapes costs 16.50 dollars.
5A + 5G = 16.50
Substitute 5.06 - 7A/3 in for G .
5A + 5(5.06 - 7A/3) = 16.50
Distribute the 5 to the terms in parenthesees.
5A + 25.3 - 35A/3 = 16.50
Subtract 25.3 from both sides of the equation.
5A - 35A/3 = -8.8
A(5 - 35/3) = -8.8
A( -20/3 ) = -8.8
Multiply both sides of the equation by -3/20 .
A = 1.32
Use this value for A to find G .
G = 5.06 - 7(1.32)/3
G = 1.98
