Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.Jake and his workout partner are lifting weights together, doing many sets of each exercise. On a certain exercise, Jake is using a 17-kilogram bar, increasing the amount of weight he lifts by 3 kilograms on each set. His partner, meanwhile, started out using an 11-kilogram bar and is upping the weight by adding 9 kilograms on every set. Eventually, Jake and his workout partner will be lifting the same amount, and will take turns using the same barbell. How many sets will they have completed? How much weight will they be lifting then?After completing _ sets, they will both be lifting _ kilograms. Get tutor help
Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.Two tailors, Harper and Rachel, sit down to do some embroidery. Harper can embroider 4 shirts per hour, and Rachel can get through 6 shirts per hour. In addition, the tailors had previously finished some shirts. Harper has already completed 21 shirts, and Rachel has completed 5 shirts. Harper and Rachel decide to take a break when they have finished the same total number of shirts. How long will that take? How many shirts, in total, will each tailor have finished?In hours, each tailor will have finished a total of shirts. Get tutor helpWrite a system of equations to describe the situation below, solve using substitution, and fill in the blanks.Band students are tested on, and required to pass, a certain number of scales during the year. As of today, Kendra has passed 2 scales, whereas her friend Jackie has passed 15 of them. Going forward, Kendra has committed to passing 4 scales per week, and Jackie has committed to passing 3 per week. At some point soon, the two friends will have passed the same number of scales. How long will that take? How many scales will that be?In weeks, the friends will each have passed scales. Get tutor helpWrite a system of equations to describe the situation below, solve using substitution, and fill in the blanks.Katie and Percy, the boy she was babysitting, were playing basketball together. Her score was 22 points, and his score was 16 points. Katie wanted to make the game more fair, so she called a time-out and modified the rules a bit. Katie explained that, for the rest of the game, she would get 1 point per basket, and Percy would get 4 points per basket. Then they played a bit longer. After the time-out, they both made the same number of baskets and ended up with a tied score. How many baskets did each person make after the time out? How many points did each person have at the end?Katie and Percy each made _ baskets after the time-out, for a score of _. Get tutor help
