Question

1. large cheese pizzas cost $5 each and large one - topping pizzas cost $6 each. write an equation that represents the total cost, t, of c large cheese pizzas and d large one - topping pizzas.
2. jada plans to serve milk and healthy cookies for a book club meeting. she is preparing 12 ounces of milk and 4 cookies per person. including herself, there are 15 people in the club. a package of cookies contains 24 cookies and costs $4.50. a 1 - gallon jug of milk contains 128 ounces and costs $3. let n represent number of people in the club, m represent the ounces of milk, c represent the number of cookies, and b represent jada’s budget in dollars. circle all of the equations that could represent the quantities and constraints in this situation.

a. m = 12(15)
b. 3m + 4.5c = b
c. 4n = c
d. 4(4.50) = c
e. b = 2(3)+3(4.50)

Explanation:

Step1: Analyze problem 1

The cost of each large - cheese pizza is $5 and there are $c$ of them, and the cost of each large one - topping pizza is $6 and there are $d$ of them. The total cost $T$ is the sum of the cost of cheese pizzas and one - topping pizzas.
$T = 5c+6d$

Step2: Analyze problem 2 - Option A

Since she is preparing 12 ounces of milk per person and there are 15 people, the total amount of milk $m$ is $m = 12\times15$. This option is correct.

Step3: Analyze problem 2 - Option B

The cost of milk is based on the number of jugs, not the number of ounces directly. A 1 - gallon jug (128 ounces) costs $3, not $3 per ounce. So $3m + 4.5c=b$ is incorrect.

Step4: Analyze problem 2 - Option C

She is preparing 4 cookies per person. If $n$ is the number of people and $c$ is the number of cookies, then $4n=c$. This option is correct.

Step5: Analyze problem 2 - Option D

$4(4.50)$ gives the cost of 4 packages of cookies, not the number of cookies $c$. So this option is incorrect.

Step6: Analyze problem 2 - Option E

There are 15 people. She needs $12\times15 = 180$ ounces of milk. Since a 1 - gallon jug has 128 ounces, she needs 2 jugs of milk (costing $2\times3$ dollars). She needs $\frac{4\times15}{24}=2.5$ packages of cookies, so she needs 3 packages of cookies (costing $3\times4.50$ dollars). So $b = 2(3)+3(4.50)$ is correct.

Answer:

1. $T = 5c + 6d$
2. A. $m = 12(15)$

C. $4n=c$
E. $b = 2(3)+3(4.50)$