Question

incorrect! 2 tries left. please try again. melissa is buying party favors to make gift bags. supplies ltd sells a 5 - pack of favors for $11.25 and parties and more sells a 3 - pack of favors for $8.25. at these rates, how much more will she spend if she buys 15 more favors from supplies ltd than parties and more? need help?

Explanation:

Step1: Calculate cost from Supplies LTD

First, find how many 5 - packs are needed for 15 favors. Since \(15\div5 = 3\) packs.
The cost per 5 - pack is \(\$11.25\), so total cost from Supplies LTD is \(3\times11.25=\$33.75\).

Step2: Calculate cost from Parties and More

Next, find how many 3 - packs are needed for 15 favors. Since \(15\div3 = 5\) packs.
The cost per 3 - pack is \(\$8.25\), so total cost from Parties and More is \(5\times8.25=\$41.25\). Wait, no, wait. Wait, the question is how much more will she spend if she buys 15 more favors from Supplies LTD than Parties and More? Wait, no, re - read: "how much more will she spend if she buys 15 more favors from Supplies LTD than Parties and More?" Wait, no, the correct interpretation: she is buying 15 favors (total) from each? Wait, no, the problem says "buys 15 more favors from Supplies LTD than Parties and More"? Wait, no, maybe it's a translation error. Wait, the correct problem: Melissa is buying party favors to make gift bags. Supplies LTD sells a 5 - pack of favors for \(\$11.25\) and Parties and More sells a 3 - pack of favors for \(\$8.25\). At these rates, how much more will she spend if she buys 15 favors from Supplies LTD than Parties and More?

Ah, that makes sense. So for 15 favors:

For Supplies LTD: number of 5 - packs for 15 favors: \(15\div5 = 3\). Cost: \(3\times11.25=\$33.75\).

For Parties and More: number of 3 - packs for 15 favors: \(15\div3 = 5\). Cost: \(5\times8.25=\$41.25\). Wait, no, that can't be. Wait, maybe I got it reversed. Wait, the question is "how much more will she spend if she buys 15 favors from Supplies LTD than Parties and More?" Wait, no, maybe it's a miscalculation. Wait, no:

Wait, Supplies LTD: 5 - pack for \(\$11.25\), so per favor cost: \(11.25\div5=\$2.25\) per favor.

Parties and More: 3 - pack for \(\$8.25\), so per favor cost: \(8.25\div3 = \$2.75\) per favor.

Wait, no, that's the opposite. Wait, maybe the question is how much more does she spend at Parties and More? But the question says "from Supplies LTD than Parties and More". Wait, maybe the original problem has a typo, but let's re - do:

Wait, 15 favors from Supplies LTD:

Number of 5 - packs: \(15\div5 = 3\). Cost: \(3\times11.25 = 33.75\).

15 favors from Parties and More:

Number of 3 - packs: \(15\div3 = 5\). Cost: \(5\times8.25=41.25\).

Wait, but 33.75 is less than 41.25. So if she buys 15 favors from Supplies LTD instead of Parties and More, she spends \(41.25 - 33.75=\$7.5\) less? But that contradicts the "how much more" part. Wait, maybe the problem is "buys 15 favors from Supplies LTD and 15 favors from Parties and More, how much more does Supplies LTD cost?" No, that can't be. Wait, maybe the problem is "buys 15 more favors from Supplies LTD than from Parties and More", meaning total favors: let's say she buys \(x\) from Parties and More, then \(x + 15\) from Supplies LTD. But that's too complex. Wait, the original problem as per the image: "how much more will she spend if she buys 15 more favors from Supplies LTD than Parties and More?" No, that's unclear. Wait, the correct way is: for 15 favors (the same quantity of 15 favors), compare the cost between Supplies LTD and Parties and More.

Wait, let's recalculate:

Supplies LTD: 5 - pack = \$11.25, so 15 favors is 3 packs (5*3 = 15). Cost: 3*11.25 = 33.75.

Parties and More: 3 - pack = \$8.25, so 15 favors is 5 packs (3*5 = 15). Cost: 5*8.25 = 41.25.

Wait, but 33.75 is less than 41.25. So if she buys 15 favors from Supplies LTD instead of Parties and More, she spends 41.25 - 33.75 = \$7.5 less. But the question says "how much more will she spend", so maybe the problem is reversed: buys from Parties and More than Supplies LTD? But the problem says "from Supplies LTD than Parties and More". Wait, maybe a mistake in the problem, but assuming that we need to find the difference when buying 15 favors from each, and maybe I made a mistake in per - pack cost.

Wait, no, let's check the per - favor cost:

Supplies LTD: \$11.25 for 5, so per favor: 11.25/5 = 2.25.

Parties and More: \$8.25 for 3, so per favor: 8.25/3 = 2.75.

So for 15 favors:

Cost at Supplies LTD: 15*2.25 = 33.75.

Cost at Parties and More: 15*2.75 = 41.25.

Difference: 41.25 - 33.75 = 7.5. So she spends \$7.5 less at Supplies LTD. But the question says "how much more will she spend if she buys 15 more favors from Supplies LTD than Parties and More?" This is confusing. Wait, maybe the problem is "buys 15 favors from Supplies LTD and 15 favors from Parties and More, how much more does she spend at Supplies LTD?" But 33.75 is less than 41.25. So the answer would be negative, which doesn't make sense. Wait, maybe the prices are reversed? Maybe Supplies LTD is 3 - pack and Parties and More is 5 - pack? No, the problem says Supplies LTD: 5 - pack \$11.25, Parties and More: 3 - pack \$8.25.

Wait, maybe the question is "how much more will she spend if she buys 15 favors from Parties and More than Supplies LTD?" Then the difference is 41.25 - 33.75 = 7.5. So maybe a typo in the problem. Assuming that, the answer is \$7.5.

Wait, let's do it step by step correctly:

Step1: Calculate cost for 15 favors at Supplies LTD

Number of 5 - packs in 15 favors: \(n_1=\frac{15}{5}=3\)
Cost at Supplies LTD: \(C_1 = 3\times11.25=\$33.75\)

Step2: Calculate cost for 15 favors at Parties and More

Number of 3 - packs in 15 favors: \(n_2=\frac{15}{3}=5\)
Cost at Parties and More: \(C_2 = 5\times8.25=\$41.25\)

Step3: Calculate the difference

The difference in cost (how much more she spends at Parties and More than Supplies LTD) is \(C_2 - C_1=41.25 - 33.75=\$7.5\)

But the question says "how much more will she spend if she buys 15 more favors from Supplies LTD than Parties and More?" This is unclear, but assuming it's a comparison of 15 favors from each, the difference is \$7.5 (but she spends less at Supplies LTD, so maybe the question has a wording error, and it's supposed to be "from Parties and More than Supplies LTD").

Answer:

\(\$7.5\)