Final answer:
Judith paid $0.49 more in sales tax than Colin on a $28 radio purchase, with Judith paying 8.75% sales tax in California and Colin paying 7% in Indiana.
Step-by-step explanation:
To determine how much more in sales tax Judith paid than Colin, we need to calculate the sales tax each paid on their $28 radio and compare the two amounts. Since Colin lives in Indiana with a 7% sales tax, we convert 7% to a decimal (0.07) and multiply by the cost of the radio to find the sales tax he paid:
$28 × 0.07 = $1.96
For Judith in California with an 8.75% sales tax, we convert 8.75% to a decimal (0.0875) and multiply by the cost of the radio to find the sales tax she paid:
$28 × 0.0875 = $2.45
Now we calculate the difference between the two sales tax amounts to find out how much more Judith paid than Colin:
$2.45 - $1.96 = $0.49
Therefore, Judith paid $0.49 more in sales tax than Colin for the same radio.