Question

at a candy store, a bar of chocolate costs $1.75 and a bag of sour gummies costs $2.10. if jacinta has $10 to spend and plans to buy 3 bags of sour gummies. a. write an inequality that could be used to determine how many candy bars she can buy with her money. b. what is the maximum number of candy bars jacinta can buy?

Explanation:

Step1: Define variables

Let $x$ be the number of candy - bars.

Step2: Set up the cost - inequality

The cost of 3 bags of sour gummies is $3\times2.10 = 6.30$ dollars. The cost of $x$ candy - bars is $1.75x$ dollars. Jacinta has $10$ dollars to spend. So the inequality is $1.75x+6.30\leq10$.

Step3: Solve the inequality for $x$

First, subtract 6.30 from both sides: $1.75x\leq10 - 6.30$, so $1.75x\leq3.7$. Then divide both sides by 1.75: $x\leq\frac{3.7}{1.75}\approx2.11$.

Step4: Determine the maximum number of candy - bars

Since $x$ represents the number of candy - bars and it must be a non - negative integer, the maximum value of $x$ is 2.

Answer:

2