Chris bought 5 pinipig crunches and 1 drumstick for Php97. Justin paid Php89 for 3 pinipig crunches and 2 drumsticks. How much did each pinipig crunch and each drumstick cost?

Question

Chris bought 5 pinipig crunches and 1 drumstick for Php97. Justin paid Php89 for 3 pinipig crunches and 2 drumsticks. How much did each pinipig crunch and each drumstick cost?

Answer 1

5p + 1d = 97

3p + 2d = 89
. . .

Answer 2

Let's denote the cost of each pinipig crunch as "P" and the cost of each drumstick as "D".

From the given information, we can create the following equations:

Equation 1: 5P + D = 97
Equation 2: 3P + 2D = 89

We can solve this system of equations by elimination or substitution method. Let's use the elimination method to find the values of P and D.

First, we'll multiply Equation 2 by 5 to eliminate P when we add the equations:

5(3P + 2D) = 5(89)
15P + 10D = 445

Now we'll subtract Equation 1 from this new equation:

(15P + 10D) - (5P + D) = 445 - 97
15P + 10D - 5P - D = 348
10P + 9D = 348

Simplifying Equation 3, we have:

10P + 9D = 348 --> Equation 3

Now we can solve Equations 1 and 3 as a system of linear equations.

Using Equation 1, we can express D in terms of P:

D = 97 - 5P

Substitute this value of D into Equation 3:

10P + 9(97 - 5P) = 348
10P + 873 - 45P = 348
-35P = 348 - 873
-35P = -525
P = -525/-35
P = 15

Now we can substitute the value of P back into Equation 1 to find D:

5(15) + D = 97
75 + D = 97
D = 97 - 75
D = 22

Therefore, each pinipig crunch costs Php15 and each drumstick costs Php22.

Answer 3

To find the cost of each pinipig crunch and drumstick, we can create a system of equations using the given information.

Let's denote the cost of each pinipig crunch as "p" and the cost of each drumstick as "d".

From the given information, we can set up the following equations:

Equation 1: 5p + 1d = 97 (representing the cost of Chris's purchase)
Equation 2: 3p + 2d = 89 (representing the cost of Justin's purchase)

To solve this system of equations, we can use the method of substitution or elimination.

Let's use the substitution method:

We can rearrange Equation 1 to solve for d in terms of p:
d = 97 - 5p

Substitute this expression for d in Equation 2:
3p + 2(97 - 5p) = 89

Simplify the equation:
3p + 194 - 10p = 89
-7p + 194 = 89

Move the constant term to the other side:
-7p = 89 - 194
-7p = -105

Divide both sides by -7 to solve for p:
p = -105 / -7
p = 15

Now substitute the value of p back into Equation 1 to solve for d:
5(15) + 1d = 97
75 + d = 97
d = 97 - 75
d = 22

Therefore, each pinipig crunch costs Php15 and each drumstick costs Php22.