At an all you can eat barbecue, adults pay $8 and children pay $5. 140 people attend you raise $856. What’s the total number adults and children?

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Answer:
The number of adults was 52 and number of children was 88.Step-by-step explanation:Cost for one adult = $8Cost for one child = $5People attended = 140Amount raised = $856Let, x be the number of adulty be the number of childrenAccording to given statement; x+y=140   Eqn 18x+5y=856   Eqn 2Multiplying Eqn 1 by 8'[tex]8(x+y=140)\\8x+8y=1120\ \ \ Eqn\ 3\\[/tex]Subtracting Eqn 2 from Eqn 3[tex](8x+8y)-(8x+5y)=1120-856\\8x+8y-8x-5y=264\\3y=264[/tex]Dividing both sides by 3[tex]\frac{3y}{3}=\frac{264}{3}\\y=88[/tex]Putting y=88 in Eqn 1;[tex]x+88=140\\x=140-88\\x=52[/tex]The number of adults was 52 and number of children was 88.Keywords: linear equations, subtractionLearn more about linear equations at:brainly.com/question/357905brainly.com/question/3614416#LearnwithBrainly
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general 10 months ago 4169