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dangina [55]
3 years ago
15

Andy bought 3 bags of a new birdseed mixture on sale. The birds in his yard like it so well that his friend Mike bought 5 bags.

Together they spent $13.20. How much does each bag cost? _____
Mathematics
1 answer:
Charra [1.4K]3 years ago
5 0

Answer:

$1.65.

Step-by-step explanation:

Let x represent cost of each bag of birdseed.

We have been given that Andy bought 3 bags of a new birdseed mixture on sale. Cost of 3 bags of birdseed would be 3x.

The birds in his yard like it so well that his friend Mike bought 5 bags. Cost of 3 bags of birdseed would be 5x.

We are also told that together they spent $13.20, we can represent this information in an equation as:

3x+5x=\$13.20

8x=\$13.20

\frac{8x}{8}=\frac{\$13.20}{8}

x=\$1.65

Therefore, the cost of each bag of birdseed would be $1.65.

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Answer:

C

Step-by-step explanation:

We can solve simultaneous equations using substitution method, elimination method or graphical method. But for this purpose, we will be using the elimination method.

3x+4y=8 Equation 1

2x+y=42 Equation 2

Multiply Equation 1 by 2 and equation 2 by 3, so as to get the same coefficient for x

2(3x+4y=8)= 6x+8y=16 Equation 3

3(2x+y=42)= 6x+3y=126 Equation 4

Subtract equation 4 from 3, to eliminate x

6x-6x=0

8y-3y= 5y

16-126= -110

We now have 5y=-110

Divide both sides by 5,

y= -110/5

= -22

Substituting for y in equation 2

2x+(-22)= 42

2x= 42+22

2x=64

x= 64/2

= 32

(x, y)

(32, -22)

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Step-by-step explanation:

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