2008 iTest Problems/Problem 1

Problem

Jerry and Hannah Kubik live in Jupiter Falls with their five children. Jerry works as a Renewable Energy Engineer for the Southern Company, and Hannah runs a lab at Jupiter Falls University where she researches biomass (renewable fuel) conversion rates. Michael is their oldest child, and Wendy their oldest daughter. Tony is the youngest child. Twins Joshua and Alexis are $12$ years old.

When the Kubiks went on vacation to San Diego last year, they spent a day at the San Diego Zoo. Single day passes cost $\textdollar{33}$ for adults (Jerry and Hannah), $\textdollar{22}$ for children (Michael is still young enough to get the children's rate), and family memberships (which allow the whole family in at once) cost $\textdollar{120}$. How many dollars did the family save by buying a family pass over buying single day passes for every member of the family?

Solution

It is given that rate for 1 child is 22 dollars. The family has 5 children, so the cost for the children is 110 dollars.

The rate for an adult is 33 dollars. There are 2 adults, so the cost for the adults is 66 dollars.

The aggregate cost is 176 dollars. The cost for a family pass is 120 dollars. Therefore, the family saved $\boxed{56}$ dollars.

See Also

 2008 iTest (Problems) Preceded by:First Problem Followed by:Problem 2 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 • 31 • 32 • 33 • 34 • 35 • 36 • 37 • 38 • 39 • 40 • 41 • 42 • 43 • 44 • 45 • 46 • 47 • 48 • 49 • 50 • 51 • 52 • 53 • 54 • 55 • 56 • 57 • 58 • 59 • 60 • 61 • 62 • 63 • 64 • 65 • 66 • 67 • 68 • 69 • 70 • 71 • 72 • 73 • 74 • 75 • 76 • 77 • 78 • 79 • 80 • 81 • 82 • 83 • 84 • 85 • 86 • 87 • 88 • 89 • 90 • 91 • 92 • 93 • 94 • 95 • 96 • 97 • 98 • 99 • 100