Answer:
25 wallets and 53 belts
Step-by-step explanation:
Firstly, we need to represent the amount with variables ( alphabets)
Let the amount charged for a belt be $b and the amount charged for a wallet be $w.
Now, we were told that last month, the company sold 20 wallets and 53 belts for 3,417.
Now if 1 wallet costs $w, 20 wallets would cost $20w
In a likewise manner, if 1 belt costs $b , 53 belts will cost $53b.
Now since we know the total cost of both equals 3,417 , this mean
$20w + $53b = $3,417
First equation.
In likewise manner,
$28w + $97b = $6,041
Second equation
This simply shows we have 2 equations to solve simultaneously.
From equation 1, we can see that
20w = 3,417 - 53b
Equation 2 can also be expressed as:
1.4(20w) + 97b = 6041
We now substitute for 20w in equation 2.
1.4(3,417 - 53b) + 97b = 6041
4783.8 - 74.2b + 97b = 6041
97b - 74.2b = 6041 - 4783.8
22.8b = 1257.2
b = 1257.2/22.8 = apprx 55 belts
20w = 3,417 - 53b
Substitute for b here.
20w = 3417 - 53(55)
20w = 3417 - 2915
20w = 502
w = 502/20 = apprx 25
