Question

at brandon’s store, the cost of six bars of soap is $25.00. at jocelyn’s store, the cost of twenty - six bars of the same soap is $100.00. compare prices by finding a pair of common values (same number of soap bars or same price). round your answers to the nearest cent if necessary.
answer attempt 1 out of 2
at brandon’s store, \\(\square\\) bars of soap cost $\LXI1. at jocelyn’s store, \LXI2 bars of soap cost $\\(\square\\). brandon’s store has the better price.

Explanation:

Step1: Find unit price at Brandon's

$\text{Unit Price}_B = \frac{25.00}{6} \approx 4.17$ dollars per bar

Step2: Find unit price at Jocelyn's

$\text{Unit Price}_J = \frac{100.00}{26} \approx 3.85$ dollars per bar

Step3: Use common bar count (e.g., 1 bar)

For Brandon's: 1 bar costs $\approx 4.17$
For Jocelyn's: 1 bar costs $\approx 3.85$

Step4: Compare unit prices

$3.85 < 4.17$, so Jocelyn's is cheaper

Answer:

At Brandon's store, $\boldsymbol{1}$ bars of soap cost $\boldsymbol{4.17}$. At Jocelyn's store, $\boldsymbol{1}$ bars of soap cost $\boldsymbol{3.85}$. $\boldsymbol{\text{Jocelyn's}}$ store has the better price.

(Note: A common number of bars like 78 (LCM of 6 and 26) also works: Brandon's 78 bars cost $\frac{78}{6} \times 25 = 325.00$, Jocelyn's 78 bars cost $\frac{78}{26} \times 100 = 300.00$, with Jocelyn's still being cheaper.)