Mathematics, 01.09.2019 12:30 medellincolombia99

Afarmer plants corn and wheat on an 180-acre farm. the farmer wants to plant three times as many acres of corn as wheat. how many acres of each crop should the farmer plant?

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Let x be the number of acres of corn
let y be the number of acres of wheat

corn and wheat will take up 180 acres
x+y=180

3 times corn than wheat
x=3y

2 equations 2 unknown
x+y=180
x=3y

solving using substitution
x+y=180

substitute for x
x+y=180
(3y)+y=180
3y+y=180
4y=180

divide by 4 to both sides
4/4 y = 180/4
y=45

45 acres of wheat planted

using 2nd equation to find x
x=3y
x=3(45)
x=135

135 acres of corn planted

Answer from: Quest

mx+89b(-98)nb

step-by-step explanation:

Answer from: Quest

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

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