Transcript Inequality_Word_Problems_v2

Purpose of Inequalities
• Inequalities are useful when setting
boundaries for acceptable outcomes:
– We need to raise at least $30 selling
hamburgers and hotdogs.
– Sally can spend no more than $50 at the
store
– The restaurant has a maximum capacity of
54 people.
– Joe must run a minimum of 5 miles today
1) Mindy has $400 from graduation
presents. She wants to buy some new
clothes for college. Shirts cost $35, and
pants cost $45. Write a mathematical
expression for the number of shirts, s, and
pants, p, Mindy can buy with her
graduation money.
2) Harris has $20.92 to spend on videogame rentals at a local video store. The
store charges $3.95 per video-game
rental plus an 8.125% tax.
Write an equation for the maximum
number of video games that Harris can
rent.
3) At Southwest Electronics CDs cost
$5.00 per package, and DVDs cost
$10.00 per package.
Write an equation for the number of
CDs and DVDs that can be purchased
for $55 or less.
4) An oyster provides approximately 19
calories, and a shrimp provides
approximately 30 calories. Jay wants to
consume no more than 450 calories
eating oysters and shrimp. Write an
equation for the number of oysters, o,
and shrimp, s, that Jay can eat to stay
within this limit?
5) The Smith family is going on vacation in
Hawaii and has a budget of $2000. It will
cost them $800 to fly to Hawaii, and $200
per day (d) in their all inclusive (food & all
expenses included) resort. Write an
inequality for the maximum number of days
that the Smith family can stay at the resort.
6) Solve the following inequality for y
12  2 y  12 x  6
5) The Smith family is going on vacation in
Hawaii and has a budget of $2000. It will
cost them $800 to fly to Hawaii, and $200
per day (d) in their all inclusive (food & all
expenses included) resort. Write an
inequality for the maximum number of days
that the Smith family can stay at the resort.
6) Solve the following inequality for y
12  2 y  12 x  6