Question

Use a table to organize your guesses.

angelica collects spiders and ants. her collection currently consists if 54 bugs witha totalof 350 legs.how many ants dies angelica have? how many spiders does she have​

Answer 1

Here is a table to organize the information given:

Type of Bug Number of Bugs Number of Legs

Ants x 2x

Spiders 54 - x 350 - 2x

We are trying to find the value of x, which is the number of ants that Angelica has. We know that the total number of legs is 350 and the number of legs on the ants is 2x, so we can set up the equation:

350 = 2x

To solve for x, we can divide both sides by 2:

x = 350 / 2

= 175

Therefore, Angelica has 175 ants in her collection. The number of spiders in her collection is 54 - x = 54 - 175 = -121. This is not possible, because it is not possible to have a negative number of bugs. This means that the initial assumption that x represents the number of ants is incorrect, and there must be a different solution.

Alternatively, we could assume that x represents the number of spiders in Angelica's collection. In this case, the equation would be:

350 = (54 - x) * 8

Solving for x, we find that x = 27, so Angelica has 27 spiders in her collection. This is a valid solution, because it is possible to have 27 spiders and 27 ants in a collection of 54 bugs.

Explanation: