Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

A travel agency is planning a holiday for a group of people. The agency receives quotations from two coach companies, Maya Express and Great Holidays. Maya Express charges
$15 for each person while Great Holidays charges
$12 per person and a separate fee of
$84. If the total amount charged by each company is the same, find the number of people going on the holiday.

A travel agency is planning a holiday for a group of people. The agency receives quotations from two coach companies, Maya Express and Great Holidays. Maya Express charges $\$ 15$ for each person while Great Holidays charges $\$ 12$ per person and a separate fee of $\$ 84$ . If the total amount charged by each company is the same, find the number of people going on the holiday.

View step-by-step help

View step-by-step help

GCF and LCM: word problems

Full solution

Q. A travel agency is planning a holiday for a group of people. The agency receives quotations from two coach companies, Maya Express and Great Holidays. Maya Express charges

\$ 15

for each person while Great Holidays charges

\$ 12

per person and a separate fee of

\$ 84

. If the total amount charged by each company is the same, find the number of people going on the holiday.

Define Number of People: Let's call the number of people going on the holiday ' extit{p}'. $\newline$ Maya Express charges $\$15$ per person, so their total cost is $15p$ . $\newline$ Great Holidays charges $\$12$ per person plus a separate fee of $\$84$ , so their total cost is $12p + \$84$ .
Calculate Total Costs: We need to set the total costs equal to each other because the problem says the total amount charged by each company is the same. $\newline$ So, we have the equation $15p = 12p + (\$)84$ .
Set Equation: Now, let's solve for 'p'. $\newline$ Subtract $12p$ from both sides to get $3p = \$84$ .
Solve for p: Divide both sides by $3$ to find 'p'. $\newline$ $p = \frac{\$84}{3}$ .
Find Number of People: Calculating the division gives us $p = 28$ . So, there are $28$ people going on the holiday.

More problems from GCF and LCM: word problems

Question

The Huffman Corporation would like to donate

15

20

printers to local schools. The corporation would like to make sure that each school receives the same set of computers and printers, with none left over. What is the greatest number of schools that The Huffman Corporation can donate to?

\newline

\_\_\_\_

Posted 3 months ago

Question

What is the greatest common factor of

2

14

\newline

Posted 3 months ago

Question

What is the least common multiple of

6

12

\newline

Posted 3 months ago

Question

Which numbers are factors of

20

? Select all that apply.

\newline

17

\newline

5

\newline

9

\newline

7

Posted 1 month ago

Question

Kris is wrapping Christmas lights around the railing that runs around three sides of his square porch If one side of his porch is

12

feet long, and each strand of his Christmas lights will wrap around a

70

-inch length of the railing, what is the minimum number of strands Kris needs to completely wrap the porch railing?

\newline

6

\newline

7

\newline

8

\newline

9

Posted 3 months ago

Question

What is the greatest common factor of

35 y^{4}, 14 y^{4}

63 y^{4}

Posted 4 months ago

Question

What is the greatest common factor of

60 \mathrm{w}, 36 w^{2}

24 w^{4}

Posted 2 months ago

Question

Find the greatest common factor of

75

8

21

Posted 4 months ago

Question

Find the greatest common factor of

110

40

120

Posted 4 months ago

Question

What is the greatest common factor of

6 a, 8 a^{2}

14

Posted 4 months ago