Mr Zubir bouught a pair of pants, a shirt and a coat. The pair of pants and shirt costs $100.90. The pants and coat costs $244.50. The coat costs 5 times as much as the shirt. How much did Mr Zubir pay for his coat?
Well, it seems like Mr. Zubir went on a shopping spree! Let's solve this fashion puzzle together.
Let's call the cost of the shirt "S" and the cost of the coat "C".
From the given information, we know that the pants and shirt together cost $100.90, so we have:
Pants + Shirt = $100.90
We also know that the pants and coat together cost $244.50, so we can write:
Pants + Coat = $244.50
Lastly, we're told that the coat costs 5 times as much as the shirt, so we can write:
Coat = 5 * Shirt
Now, let's substitute the last equation into the second equation:
Pants + 5 * Shirt = $244.50
And let's substitute the first equation into the second one:
$100.90 + 5 * Shirt = $244.50
Now, let's solve for the cost of the shirt, shall we?
5 * Shirt = $244.50 - $100.90
5 * Shirt = $143.60
Dividing both sides by 5:
Shirt = $143.60 / 5
Shirt = $28.72
So, the shirt cost Mr. Zubir $28.72. But we want to know the cost of his coat, right? Well, we know that the coat is 5 times as expensive as the shirt, so:
Coat = 5 * $28.72
Coat = $143.60
So, Mr. Zubir paid $143.60 for his coat. Now he's all set for a fashionable winter!
ok, thanks. I get it now.
$252.25
To find out how much Mr. Zubir paid for his coat, we need to solve the given system of equations. Let's assign variables to the unknowns:
Let's say the cost of the pair of pants is P, the cost of the shirt is S, and the cost of the coat is C.
We are given the following information:
1. The pair of pants and shirt costs $100.90, so we can write the equation as:
P + S = 100.90
2. The pants and coat costs $244.50, which means:
P + C = 244.50
3. The coat costs 5 times as much as the shirt, so we can write it as:
C = 5S
Now, we need to solve these equations to find the values of P, S, and C. Let's start by rearranging equation 3 to express C in terms of S:
C = 5S
Next, we can substitute this value of C in equation 2:
P + C = 244.50
P + 5S = 244.50
Finally, we substitute the value of S from equation 1 into the above equation:
P + 5S = 244.50
P + 5(100.90 - P) = 244.50
P + 505.50 - 5P = 244.50
4P = 261
P = 65.25
Now that we have the value of P, we can substitute it back into equation 1 to find S:
P + S = 100.90
65.25 + S = 100.90
S = 100.90 - 65.25
S = 35.65
Lastly, we can find the value of C by substituting the value of S into equation 3:
C = 5S
C = 5(35.65)
C ≈ 178.25
Therefore, Mr. Zubir paid approximately $178.25 for his coat.
pp+s=100.90
pp+c=244.50
c=5s
We solve this system
From the 1st s=100.90-pp, from the 2nd pp=244.50-c => s=100.90-244.50+c=c-143.60
c=5s=5(c-143.60)=5c-718
4c=718