Question

Jimmy is buying balloons and party hats for his little sister’s birthday party. The party store charges $1.50 for each bag of balloons and $6.00 for each package of hats. Which of the following equations could be used to determine different combinations of b bags of balloons and h packages of party hats that he could buy for a total of $24 A.) b+h=24

B.) (1.50+6.00)(b+h)=24
C.) 1.50b+6.00h=24
D.) 6.00b+1.50h=24

Please provide how you did it so I can understand​

Answer 1

The answer is C.

Explanation:

Since the party store charges $1.50 for each bag of balloons, the total price depends on how many bags of balloons Jimmy purchases. So to represent that amount we use the variable given, b. To represent that we can do 1.50b. If we substitute any positive number for b it could look something like this:

(1.50)(1) or 1.50 × 2.

In addition to this, they also sell packages for $6.00 each. We do the same as with the balloons and use the variable h to represent the number of packages Jimmy buys.

We already know that he spends $24 in total but we do not know how many of each item he bought. So we would represent the unit rate price × the variable (or the unknown number of items) of the balloons + the unit rate price and the unknown number of the party hats.

1.50b + 6.00h = 24.

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