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Solve a system of equations using any method: word problems

Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.\newlineMrs. Moore is researching what it would cost to order flower arrangements for a fancy party. She wants one large centerpiece for the head table, and smaller arrangements for the smaller tables. Bloomington Florist charges $10\$10 for each smaller arrangement, plus $45\$45 for the large centerpiece. Quincy's Flowers, in contrast, charges $47\$47 for the large centerpiece and $9\$9 per arrangement for the rest. If Mrs. Moore orders a certain number of small arrangements, the cost will be the same at either flower shop. How many small arrangements would that be? What would the total cost be?\newlineIf Mrs. Moore orders _____ small arrangements, it will cost $\$_____ at either shop.
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Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.\newlineDr. Thompson, a pediatrician, has 33 annual checkups and 22 sick visits scheduled next Tuesday, which will fill a total of 220220 minutes on his schedule. Next Wednesday, he has 33 annual checkups and 33 sick visits on the schedule, which should take 246246 minutes. How much time is allotted for each type of appointment?\newlineThe time allotted is _\_ minutes for an annual checkup and _\_ minutes for a sick visit.
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Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.\newlineTwo groups of workers are painting a bridge in the bay. The first group is responsible for painting the north side of the bridge, and the second group is responsible for painting the south side of the bridge. The first group has already painted 55 kilometers of the bridge and is painting 22 additional kilometers per day. The second group has already painted 22 kilometers of the bridge and is painting 33 additional kilometers per day. After a while, the two groups will have painted the same amount of the bridge. How long will that take? How much of the bridge will each group have painted?\newlineIn _\_ days, both groups of workers will have painted _\_ kilometers of the bridge.
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Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.\newlineKylie and Fernando, the boy she was babysitting, were playing basketball together. Her score was 2020 points, and his score was 1919 points. Kylie wanted to make the game more fair, so she called a time-out and modified the rules a bit. Kylie explained that, for the rest of the game, she would get 33 points per basket, and Fernando would get 44 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?\newlineKylie and Fernando each made _\_ baskets after the time-out, for a score of _\_.
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Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.\newlineLamar wrote a business plan for an entrepreneurship class, and now he has to make bound copies. Lamar could use a printer who charges a setup fee of $51\$51 and $7\$7 for every copy printed. Another possibility is to go to the office supply store, where he could pay an up-front fee of $24\$24 and $8\$8 per copy. There is a certain number of copies that makes the two options equivalent in terms of cost. How much would the copies cost? How many copies is that?\newlineThe cost is $\$_____ for _____ copies.
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