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sergiy2304 [10]
2 years ago
9

At the first baseball game of the season, every 6th person entering the ballpark received a coupon for a free hot dog. Every 10t

h person received a coupon for a free soft drink. What is the number of the first person to enter the ballpark that received a coupon for a free hot dog and a coupon for a free soft drink
Mathematics
1 answer:
GREYUIT [131]2 years ago
3 0

Answer:

30\text{th}

Step-by-step explanation:

GIVEN: At the first baseball game of the season, every 6 th person entering the ballpark received a coupon for a free hot dog. Every 10 th person received a coupon for a free soft drink.

TO FIND: number of the first person to enter the ballpark that received a coupon for a free hot dog and a coupon for a free soft drink.

SOLUTION:

As every 6\text{th} person receives coupon for free hot dog.

First person who receives coupon for free hot dog=12\text{th}

similarly,

next persons who receives coupon for free hot dog=18\text{th},24\text{th},30\text{th},36\text{th}

As every 10\text{th} person receives coupon for free soft drink.

First person who receives coupon for free hot dog=20\text{th}

next persons who receives coupon for free hot dog=20\text{th},30\text{th},40\text{th}

As 30\text{th} person is common in both.

therefore 30\text{th} person is the first person to enter ballpark that received a  coupon for a free hot dog and a coupon for a free soft drink.

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