Home / Assignment Help / One hundred and fifty tickets were sold for a basketball match and $560 was the total amount collected. adult tickets were sold at $4.00 each and child tickets were sold at $1.50 each. how many adult tickets and how many child tickets were sold?

One hundred and fifty tickets were sold for a basketball match and $560 was the total amount collected. adult tickets were sold at $4.00 each and child tickets were sold at $1.50 each. how many adult tickets and how many child tickets were sold?

Parallel lines…means ur equations will have the same slope and different y int’s.

x – 2y = 8….-2y = -x + 8….y = 1/2x – 4…slope is 1/2, y int is -4
2x + 4y = 12…4y = -2x + 12….y = -1/2x + 3…slope is – 1/2, y int is 3
not this one…different slopes

x – 2y = 8…slope is 1/2, y int is -4
2x – 4y = 12…-4y = -2x + 12…y = 1/2x – 3….slope is 1/2, y int is -3
same slope, different y int’s…..these are parallel lines..but this is not ur graph because the graph has a negative slope.

x + 2y = 8….2y = -x + 8….y = -1/2x + 4..slope is -1/2, y int is 4
2x + 4y = 12…4y = -2x + 12….y = -1/2x + 3…slope is -1/2, y int is 3
same slope, different y int’s…parallel lines…and ur y int’s match the graph…this is ur answer <===

x + 2y = 8…slope is -1/2, y int is 4
2x – 4y = 12..slope is 1/2, y int is 3
different slopes, different y int….this has 1 solution and ur lines are not parallel…not this one

therefore, ur answer is : 3rd answer choice

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