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A family went to an amusement park and paid $12 for each adult and $8 for each child. A group of 15 people went to the park and it cost $140. This system of equations models this situation, where x is the number of adults and y is the number of children.
yes, very good. correct equations now simplify the second equation 12x+8y=140 undistribute the 4 in both 8 and 12 4(3x+2y)=140 divide both sides by 4 2x+3y=35
seconde equation x+y=15 multiply by 2 2x+2y=30
compare 2x+3y=35 2x+2y=30 make the secondn one negative and add 2x+3y=35 -2x-2y=-30 + 0x+1y=5 y=5 subsiutte x+y15 x+5=15 subttract 5 x=10
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