A shop offered a special on socks and handkerchiefs for Father's Day. For k50 you could buy 7 pair of socks and 3 boxes of handkerchiefs or for K24 you could buy 3 pair of socks and 2 boxes of handkerchiefs. A. From a pair of simultaneous equations for the given information. B. Solve your equation to find the cost of a pair of socks
just look at the information given:
7s+3h = 50
3s+2h = 24
now you take over...
Pls help to solve the problem above
To solve this problem, let's assign variables to the unknown quantities. Let's call the cost of a pair of socks "x" and the cost of a box of handkerchiefs "y".
Based on the given information, we can set up the following system of equations:
Equation 1: 7x + 3y = 50
Equation 2: 3x + 2y = 24
Now, we can solve this system of equations to find the values of x and y.
A. From a pair of simultaneous equations for the given information:
To find the values of x and y, we can use the method of substitution or elimination.
Method 1: Substitution Method
Step 1: Solve Equation 2 for x in terms of y:
3x = 24 - 2y
x = (24 - 2y) / 3
Step 2: Substitute the value of x in Equation 1:
7((24 - 2y) / 3) + 3y = 50
Simplify the equation:
(168 - 14y) / 3 + 3y = 50
Multiply both sides of the equation by 3 to eliminate the fraction:
168 - 14y + 9y = 150
Combine like terms:
-5y = -18
Divide both sides of the equation by -5:
y = 18 / 5
y = 3.6
Now, substitute the value of y back into Equation 2 to find the value of x:
3x + 2(3.6) = 24
Simplify the equation:
3x + 7.2 = 24
Subtract 7.2 from both sides of the equation:
3x = 16.8
Divide both sides of the equation by 3:
x = 5.6
Therefore, the cost of a pair of socks (x) is 5.6 kwatcha, and the cost of a box of handkerchiefs (y) is 3.6 kwatcha.
B. Solve your equation to find the cost of a pair of socks:
From the Solution A above, we found that the cost of a pair of socks (x) is 5.6 kwatcha.