Hw 11 Creating & Solving Eqs - part 2 #1- 5 (Math 1)

Kenya plans to make a down payment plus monthly payments in order to buy a motorcycle. At one dealer she would pay $2,500 down and $150 each month. At another dealer, she would pay $3,000 down and $125 each month. After how many months would the total amount paid be the same for both dealers? What would that amount be?

• m = 25

  2500 + 150(25) = $6250 and 3000 + 125(25) = $6125

• m = 20

  2500 + 150(20) = $5500 and 3000 + 125(20) = $5500

Community Gym charges a $50 membership fee and a $55 monthly fee. Workout Gym charges a $200 membership fee and a $45 monthly fee. After how many months will the total amount of money paid to both gyms be the same? What will the amount be?

• m = 15

  50 + 55(15) = 875 and 200 + 45(15) = 875

  After 15 months, the total amount paid to both gyms is $875.

• m = 10

  50 + 55(10) = 600 and 200 + 45(10) = 650

  After 10 months, the total amount paid to both gyms is $650.

Xian and his cousin Kai both collect stamps. Xian has 56 stamps, and Kai has 80 stamps. The boys recently joined different stamp-collecting clubs. Xian’s club will send him 12 new stamps per month. Kai’s club will send him 8 new stamps per month. After how many months will Xian and Kai have the same number of stamps?

• m = 5

• m = 4

• m = 6

Tina is saving to buy a notebook computer. She has two options. The first option is to put $200 away initially and save $10 every month. The second option is to put $100 away initially and save $30 every month. After how many months would Tina save the same amount using either option?

• m = 5

• m = 3

• m = 4

Janine has job offers at two companies. One company offers a starting salary of $28,000 with a raise of $3000 each year. The other company offers a starting salary of $36,000 with a raise of $2000 each year. In how many years would Janine’s salary be the same with both companies?

• m = 6

• m = 8

• m = 10