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Jack buys 1 snowdrop and 2 chocomalts for a total cost of $5. Jill buys 2 snowdrops and 3 chocomalts fora total cost of $8.

Jack buys 1 snowdrop and 2 chocomalts for a total cost of $5. Jill buys 2 snowdrops-example-1
User Quinette
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1 Answer

13 votes
13 votes

Answer

The price of 1 snowdrop = $1

The price of 1 chocomalt = $2

Step-by-step explanation

a) The cost of 1 snowdrop = x

The cost of 1 chocomalt = y

1 snowdrop and 2 chocomalts cost $5

x + 2y = 5

2 snowdrops and 3 chocomalts cost $8

2x + 3y = 8

The two equations brought together is

x + 2y = 5

2x + 3y = 8

To plot this graph, we use the red line to indicate x + 2y = 5 and the blue line for 2x + 3y = 8

b)

We can then see that the two lines intersect at the black point which is the purple point according to your question, where

x = 1 and y = 2

c) If we substitute this point of intersection into the equations, we should obtain the two sides of the equation being equal to each other because they would be solutions to the simultaneous expression.

d) x + 2y = 5

2x + 3y = 8

x = 1 and y = 2

x + 2y = 5

1 + 2(2) = 5

1 + 4 = 5

5 = 5

2x + 3y = 8

2(1) + 3(2) = 8

2 + 6 = 8

8 = 8

This indicates that these are the true solutions of this simultaneous equation.

Hope this Helps!!!

Jack buys 1 snowdrop and 2 chocomalts for a total cost of $5. Jill buys 2 snowdrops-example-1
User John M Naglick
by
3.0k points