Hi there, Treena! To solve this problem, set up the following equation:
1.75x + 5.60y = 1288, where x is the number of children (multiplied by the kid rate of $1.75) and y is the number of adults (multiplied by the adult rate of $5.60)
You will need a second equation: x + y = 340.
Let's solve the second equation for x first. Subtract y from both sides and you get x = 340  y. Great! Now you have an equation for x, which you can plug into the first equation. The first equation is:
1.75x + 5.60y = 1288
Now you are substituting 340  y for x in this equation to get:
1.75(340  y) + 5.60y = 1288
Now let's use the distributive property to get: 595  1.75y + 5.60y = 1288
Let's add 1.75y + 5.60y to get:
595 + 3.85y = 1288
Subtract 595 from both sides to get:
3.85y = 693
Divide both sides by 3.85 and we get y = 180. Remember that y equals the number of adults. There were 180 adults at the amusement park.
Now we need to see how many kids were at the amusement park. Let's look at that second equation again:
x + y = 340
Now we know y, so let's plug it in:
x + 180 = 340
Subtract 180 from both sides and we get:
x = 160. There were 160 kids and 180 adults at the amusement park.
I would have thought there would be more kids! But I guess adults like roller coasters too!
1/30/2013

Marta M.