Question

Lucy plans to spend between $50 and $60, inclusive, on packages of beads and packages of charms. If she buys 5 packages of beads at $4.95 each, how many packages of charms at $6.55 can Lucy buy while staying within her budget?

Answer 1

She can buy maximum of $5$ packages while staying within her budget.

Minimum spending limit $=$ $$50$.

Maximum spending limit $=$ $$60$.

Cost of one package of beads $=$ $$4.95$.

Number of packages of beads bought $= 5$.

Cost of one package of charms $=$ $$6.55$.

Let the number of packages of beads bought be $x$.

$4.956 \times 5 + x \times 6.55 \geq 50$

$24.78+6.55x\geq 50$

$6.55x\geq 25.22$

$x\geq 3.85$

$4.956 \times 5 + x \times 6.55 \leq 60$

$24.78+6.55x\leq 60$

$6.55x\leq 35.22$

$x\leq 5.38$

So, she can buy maximum of $5$ packages while staying within her budget.

Learn more about solving inequalities here:

brainly.com/question/12189350?referrer=searchResults