tamsins bus ride to school is 11 miles long she rides the bus 4.5 miles from her house to her friend erics bus stop then she and eric continue to ride the bus to school tamsin wants to know the distance she and eric ride together what is the unknown in this situation

The unknown in this situation is the distance that Tamsin and Eric ride together from Eric's bus stop to school.

let x be the distance in miles from erics bus stop to school which equations could you solve to find the value of x

To find the value of x, which is the distance from Eric's bus stop to school, you could set up the following equation:

Total distance from Tamsin's house to school = Distance from Tamsin's house to Eric's stop + Distance from Eric's stop to school

11 miles = 4.5 miles + x

You can subtract 4.5 from both sides to solve for x:

11 - 4.5 = x
6.5 = x

Therefore, the distance that Tamsin and Eric ride together from Eric's bus stop to school is 6.5 miles.

x=11-4.5

Yes, that is correct. You can find the distance from Eric's bus stop to school by subtracting the distance from Tamsin's house to Eric's stop (4.5 miles) from the total distance from Tamsin's house to school (11 miles).

x = 11 - 4.5
x = 6.5

Therefore, the distance that Tamsin and Eric ride together from Eric's bus stop to school is 6.5 miles.