Reed is buying bacon and eggs to serve at a breakfast fundraiser. A dozen eggs cost $2.04 and a pack of bacon costs $4.25. He knows that he must buy at least 5 dozen eggs and no more than 10 packs of bacon. Reed has donated $75 to buy all of the supplies for the fundraiser. Which of the following inequalities could be used to create a system of inequalities to solve for the number of packs of bacon and dozens of eggs he buys from the store?(1 point)

Question

Responses

2.04
e
+
4.25
b
≤
75
,
e
≥
5
,
b
≤
10
2.04 e plus 4.25 b less-than-or-equal-to 75 , e greater-than-or-equal-to 5 , b less-than-or-equal-to 10

5
e
+
10
b
≥
75
,
e
≥
5
,
b
≤
10
5 e plus 10 b greater-than-or-equal-to 75 , e greater-than-or-equal-to 5 , b less-than-or-equal-to 10

2.04
e
+
4.25
b
≥
75
,
e
≥
5
,
b
≤
10
2.04 e plus 4.25 b greater-than-or-equal-to 75 , e greater-than-or-equal-to 5 , b less-than-or-equal-to 10

2.04
e
+
4.25
b
≤
10
,
e
≥
5
,
b
≤
10
2.04 e plus 4.25 b less-than-or-equal-to 10 , e greater-than-or-equal-to 5 , b less-than-or-equal-to 10
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page 20

Answer 1

To find the correct inequalities that represent Reed's purchases of bacon and eggs, we need to analyze the information provided:

1. Cost of eggs: A dozen eggs costs $2.04, and he must buy at least 5 dozen eggs. This means:

   • \( e \geq 5 \), where \( e \) is the number of dozens of eggs.

2. Cost of bacon: A pack of bacon costs $4.25, and he can buy no more than 10 packs. This leads to:

   • \( b \leq 10 \), where \( b \) is the number of packs of bacon.

3. Total budget: Reed has a total budget of $75. The total cost of the eggs and bacon can be expressed as:

   • \( 2.04e + 4.25b \leq 75 \)

Combining these, the correct system of inequalities to represent the situation is:

• \( 2.04e + 4.25b \leq 75 \)
• \( e \geq 5 \)
• \( b \leq 10 \)

Thus, the correct response is: 2.04 e + 4.25 b ≤ 75, e ≥ 5, b ≤ 10