Question

Veronica spent a minimum of $65 on a doll and accessories for the doll. The doll cost $26 and the accessories cost $13 each. Write an inequality can be used to find the possible values for x, the number of doll accessories Veronica could have bought.

Answer 1

Answer:

Step-by-step explanation:

65= 26+13x

Answer 2

Answer:  $13x+26 \ge 65$

If you solve for x, you get $x \ge 3$ which means she bought at least 3 accessories.

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Explanation:

x = number of accessories, some nonnegative whole number

13x = amount spent on accessories only

For instance, let's say she bought 5 accessories. This means she spent 13x = 13*5 = 60 dollars on those five items.

This is on top of the $26 Veronica paid for the doll itself (without the accessories). In total, she spent 13x+26 dollars for the doll (26) and the accessories (13x) combined.

We're told she spent a minimum of $65, which means that she spent 65 or more dollars.

So the total cost (13x+26) must be equal to 65 or larger than 65.

We write that as $13x+26 \ge 65$ which sets up the inequality.

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Let's solve for x

$13x+26 \ge 65\\\\13x \ge 65-26\\\\13x \ge 39\\\\x \ge 39/13\\\\x \ge 3$

So x can be equal to 3, or larger than it.

The lowest value x can be is 3.

Meaning that she bought at least 3 accessories (ie she bought 3 or more accessories).