Which polynomial represents the algebra tile configuration shown?
2 answers:
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Answer:
- <u>The farmer bought 170 animals of each species</u>.
Step-by-step explanation:
The translation of the question into English is:
<em>"a farmer bought the same number of calves and cows for 476,000. He/she paid 800 for a calf and 2000 for a cow, how many animals of each species did he/she buy?"</em>
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<h2>Solution to the problem</h2><u>1. Choose the variable's name and translate the verbal statements into algebraic expressions:</u>
- a) number of calves or cows: x
- b) He/she paid 800 for a calf: 800x
- c) He/she paid 2,000 for a cow: 2000x
- d) For 476,00: 800x + 2000x = 476,000 . . . . this is your equation
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<u>2. Solve the equation:</u>
<u>a) Write the equation:</u>
<u>b) Add like terms:</u>
<u>c) Use division property of equalities: divide both sides by 800:</u>
<u>d) Translate the solution into a verbal statement:</u>
Since x represents both the number of calves and the number of cows, the answer is:
- <u>The farmer bought 170 animals of each species</u>.