Lucy plans to spend between $50 and $60, inclusive, on packages of beads and packages of charms. If she buys 5 packages of beads

Question

1 year ago

10

at $4.95 each, how many packages of charms at $6.55 can Lucy buy while staying within her budget?

1 answer:

worty [1.4K] · Answer 1 · 2023-06-18T02:33:02+03:00

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.

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