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Barbara wants to buy some glittery heart-shaped beads to make friendship bracelets. The beads she wants come in a small pack with $90$ beads or a large pack with $300$ beads. The small pack costs $3.60$ $\$$ , while the large pack costs $9.00$ $\$$ . Which pack is the better value? $\newline$ Choices: $\newline$ (A) small pack $\newline$ (B) large pack

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Experimental probability

Full solution

Q. Barbara wants to buy some glittery heart-shaped beads to make friendship bracelets. The beads she wants come in a small pack with

90

beads or a large pack with

300

beads. The small pack costs

3.60

\$

, while the large pack costs

9.00

\$

. Which pack is the better value?

\newline

Choices:

\newline

(A) small pack

\newline

(B) large pack

Calculate cost per bead: Step $1$ : Calculate the cost per bead for the small pack. $\newline$ Number of beads in small pack = $90$ $\newline$ Cost of small pack = $\$3.60$ $\newline$ Cost per bead for small pack = Cost of small pack / Number of beads in small pack $\newline$ = $\$3.60$ / $90$ $\newline$ = $\$0.04$ per bead
Compare small and large pack: Step $2$ : Calculate the cost per bead for the large pack. $\newline$ Number of beads in large pack = $300$ $\newline$ Cost of large pack = $\$9.00$ $\newline$ Cost per bead for large pack = Cost of large pack / Number of beads in large pack $\newline$ = $\$9.00 / 300$ $\newline$ = $\$0.03$ per bead
Choose better value: Step $3$ : Compare the cost per bead of the small pack to the large pack. $\newline$ Cost per bead for small pack = \$\(0\).\(04\)\(\newline\)Cost per bead for large pack = \$\(0\).\(03\)\(\newline\)Since \$\(0\).\(03\) is less than \$\(0\).\(04\), the large pack offers a better value per bead.

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