Jon and brantley are saving up to go on a trip together at the end of the summer. jon had $95 at the beginning of the summer and makes $50 a day mowing lawns. brantley only had $5 at the beginning of the summer, but he is his uncle who is paying him $65 a day to in his mechanic shop. write a system of equations to represent this situation. then use the substitution method with that system to determine after how many days of working will they have the same amount of money. on that day how much money will they each have?

In 6 days they will both have $395.

Step-by-step explanation:

Jon's equation is 95 + 50x = y where x is the number of days he earns $50 and y is the total amount of money for the summer.

Brantley's equation is 5 + 65x = y where x is the number of days he earns $65 and y is the total amount of money for the summer.

Substitute by setting each equation equal to each other.

95+50x = 5 + 65x

95 - 5 +50x = 5 - 5 + 65x

90 + 50x = 65x

90 + 50x-50x = 65x-50x

90 = 15x

6 = x

On day 6, they will have the same money.

They will have 95 + 50(6) = 95 + 300 = $395.

1. d.90

2. e. none of these (80)

3. a. 0

4. b. 6

5. e. none of these (10)

6. a. 5

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.