+1886 Similar Figure Word Problems Please give working out
Answer each question and round your answers to the nearest whole number.
1) A 6 ft tent standing next to a carboard box casts a 9 ft shadow. If the cardboard box casts a shadow that is 6 ft long then how tall is it?
2) A telephone booth that is 8 ft tall casts a shadow that is 4 ft long. Find the height of a lawn ornament that casts a 2 ft shadow.
3) A map has a scale of 3 cm : 18 km. If Riverside and Smithville are 54 km apart then they are how far apart on the map?
4) Find the distance between Riverside and Milton if they are 12 cm apart on a map with a scale of 4 cm : 21 km.
5) A model house is 12 cm wide. If it was built with a scale of 3 cm : 4 m then how wide is the real house?
6) Oak Grove and Salem are 87 mi from each other. How far apart would the cities be on a map that has a scale of 5 in : 29 mi?
7) A map has a scale of 2 in : 6 mi. If Clayton and Centerville are 10 in apart on the map then how far apart are the real cities?
8) A statue that is 12 ft tall casts a shadow that is 15 ft long. Find the length of the shadow that a 8 ft cardboard box casts.
Answer each question and round your answer to the nearest tenth.
9) A model house has a scale of 1 in : 2 ft. If the real house is 26 ft wide then how wide is the model house?
10) A 6.5 ft tall car standing next to an adult elephant casts a 33.2 ft shadow. If the adult elephant casts a shadow that is 51.5 ft long then how tall is it?
11) if a 42.9 ft tall flagpole casts a 253.1 ft long shadow then how long is the shadow that a 6.2 ft tall woman casts?
12) Georgetown and Franklin are 9.7 in apart on a map that has a scale of 1.1 in : 15 mi. How far apart are the real cities.
Systems of Equations Word Problem Please give working out
Answer each question
1) Kristin spent $131 on shirts. Fancy shirts cost $28 and plain shirts cost $15. If she brought a total of 7 then how many of each kind did she buy?
2) There are 13 animals in a barn. Some are chickens and some are pigs. There are 40 legs in all. How many of each animal are there?
3) A farm house shelters 10 animals. Some are pigs and some are ducks. Altogether there are 36 legs. How many of each animal are there?
4) A class of 195 students went on a field trip. They took 7 vehicle, some cars and some buses. Find the number of cars and the number of buses they took if each car holds 5 students and each bus hold 45 students.
5) A farmhouse shelters 11 animals. Some are goats and some are ducks. Altogether there are 34 legs. How many of each animal are there?
6) All 231 student ]s in the Math Club went on a field trip. Some students rode in vans which hold 7 students each and some student rode in buses which hold 25 students each. How many of each type of vehicle did they use if there were 15 vehicles total?
7) At Elisa's Printing Company LLC there are two kinds of printing presses: Model A which can print 70 books per day and Model B which can print 55 books per day. The company owns 14 total printing presses and this allows them to print 905 books per day. How many of each type of press do they have?
8) Molly's Custom Kitchen Supplies sells handmade forks and spoons. It costs the store $1.70 to buy the supplies to make a fork and $1.30 to buy the supplies to make a spoon. The store sells forks for $5.60 and spoons for $5.40. Last april Molly's Custom Kitchen Supplies spent $37.90 on materials for forks and spoons. They sold and finished products for a total of $147.20. How Many forks and how many spoons did they make last April?
Two_Step Equation Word Problems Please give working out
Answer each question
1) 331 students went on a field trip. Six buses were filled a 7 students travaled in cars. How many students were in each bus?
2) Aliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?
3) The sum of three sonsecutive number is 72. What are the smallist of these numbers?
4) The sum of three consecutive even numbers is 48. What are then smallest of these numbers?
5) You brought a magazine for $5 and four erasers. You spent a total of $25. How much did each eraser cost?
6) Maria brought seven boxes. A week later half of all her boxes were destroyed in a fire. There are now only 22 boxes left. With how many did she start?
7) Sumalee won 40 super bouncy b***s playing horseshoes at her school's game night. Later, she gave two to each of her friends. She only has eight remaining. How much friends does she have?
8) Imani spent half of her weekly allowance plaing mini-golf. To ern more money her parents let her wash the car for $4. What is her weekly allowance if she ended with $12?
