A group of 148 people spending 5 days out of summer camp the Cook ordered 12 lb of food for each adult and 9 pounds of food for
each child. A total of 1410 pounds of food was ordered. Find the total number of adults in the group and the total number of children in the group
2 answers:
A + c = 148 -> c = 148 - a
12a + 9c = 1410
12a + 9(148 - a) = 1410
12a + 1332 - 9a = 1410
3a = 78
a = 26
26 + c = 148
c = 122
better help me out on my social studies!
We'll call the number of adults (x). Since there are 148 people total, the number of children will be 148 minus the number of adults, or (148 - x).
<span>12 pounds for each adult = 12x </span>
<span>9 pounds for each child = 9 (148-x) = (1332 - 9x) </span>
<span>The total pounds for adults plus children is 1,410, so the equation would be: </span>
<span>12x + (1332 - 9x) = 1410 </span>
<span>Combine like terms: </span>
<span>3x + 1332 = 1410 </span>
<span>Get x term alone by subtracting 1332 from both sides: </span>
<span>3x = 78 </span>
<span>Solve for x by dividing both sides by 3 </span>
<span>x = 26 = number of adults </span>
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