Mariah wants to buy as many collectible dolls as possible, for $4.50 each. If she has $75.00 to spend, how many dolls can she buy? which equation represents this situation

3 answers

To determine how many collectible dolls Mariah can buy, we can set up the equation based on the cost of the dolls and her total budget.

Let \( x \) be the number of dolls Mariah can buy. The cost of each doll is $4.50, and she has $75.00 to spend. The relationship can be expressed with the following equation:

\[ 4.50x \leq 75.00 \]

To find out how many dolls she can purchase, we can solve for \( x \):

\[ x \leq \frac{75.00}{4.50} \]

Calculating the right side:

\[ \frac{75.00}{4.50} = 16.67 \]

Since \( x \) must be a whole number (she can't buy a fraction of a doll), we round down to the nearest whole number:

\[ x \leq 16 \]

Thus, Mariah can buy a maximum of 16 dolls. The equation that represents the situation is:

\[ 4.50x \leq 75.00 \]

answer choices

75d = 4.5

d + 4.5 = 75

4.5d = 75

d/4.5 = 75

Given the situation where Mariah wants to buy collectible dolls for $4.50 each with a budget of $75.00, the correct equation from your answer choices that represents this situation is:

\[ 4.5d = 75 \]

Here, \(d\) represents the number of dolls she can buy. This equation indicates that the total cost of the dolls (4.5 times the number of dolls) equals her budget of $75.00.