Question

Select the correct answer.

Laura is planning a party for her son. She has $50 dollars remaining in her budget and wants to provide one party favor per person to at least 10
guests. She found some miniature stuffed animals for $6.00 each and some toy trucks for $4.00 each.
Which system of inequalities represents this situation, where x is the number of stuffed animals and y is the number of toy trucks?

Answer 1

6x + 4y ≤ 50

x + y ≥ 10

Explanation:

$6 is the cost of stuffed animals $4 is the cost of toy trucks and the her maximum budget is $50 it would be 6x+4y is less then or equal to 50 and there is AT LEAST 10 people so the amounts which are x and y would be equal to or greater than 10.

Answer 2

`6x+4y\leq 50`

`x+y\geq 10`

Explanation:

`x` represents the number of stuffed animals.

`y` represents the number of toy trucks.

Now, according to the problem, she found stuffed animals for $6.00 each and toy trucks for $4.00 each. Also, Laura has a restricted budget of $50. All these can be expressde as

`6x+4y\leq 50`

Also, the problem states that Laura wants to provide one partu favor per person to at least 10 people, that means

`x+y\geq 10`, because "at least" represents a minimum value, which is expressed with
`\geq`.

Therefore, the inequality system that models this situation is

`6x+4y\leq 50`

`x+y\geq 10`