Vega Love
02/24/2024 · High School
1. During a woekend, the manager of a mall gave away gift cards to every \( 80^{\text {th }} \) person who visited the mall. "Saturday, 1,210 people visited the mall. *Sunday: 1,814 visited the mall. How many people received a gift card?
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Tutor-Verified Answer
Step-by-step Solution
To find out how many people received a gift card, we need to determine how many \( 80^{\text{th}} \) persons visited the mall on both Saturday and Sunday.
**Saturday:**
- Total visitors: 1,210
- Gift cards given to every \( 80^{\text{th}} \) person.
To find the number of gift cards given on Saturday, we divide the total number of visitors by 80:
\[
\text{Number of gift cards on Saturday} = \left\lfloor \frac{1210}{80} \right\rfloor
\]
Calculating this:
\[
\frac{1210}{80} = 15.125
\]
Taking the floor value, we get:
\[
\left\lfloor 15.125 \right\rfloor = 15
\]
So, 15 gift cards were given on Saturday.
**Sunday:**
- Total visitors: 1,814
- Gift cards given to every \( 80^{\text{th}} \) person.
To find the number of gift cards given on Sunday, we divide the total number of visitors by 80:
\[
\text{Number of gift cards on Sunday} = \left\lfloor \frac{1814}{80} \right\rfloor
\]
Calculating this:
\[
\frac{1814}{80} = 22.675
\]
Taking the floor value, we get:
\[
\left\lfloor 22.675 \right\rfloor = 22
\]
So, 22 gift cards were given on Sunday.
**Total gift cards given over the weekend:**
\[
\text{Total gift cards} = \text{Gift cards on Saturday} + \text{Gift cards on Sunday} = 15 + 22 = 37
\]
Thus, the total number of people who received a gift card over the weekend is \( \boxed{37} \).
Quick Answer
The total number of people who received a gift card over the weekend is 37.
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