Question

A farm stand wants to sell fruit to local grocery stores in packages with
ets of grapes, worth $5 apiece, and baskets of plums, worth $10 apiece
The owner wants each package to include 35 baskets total, and he wants to
sell each package for $290. How many baskets of grapes and how many
baskets of plums should he put in each package?

Answer 1

answer-

12 grapes, 23 plums

no explanation

Answer 2

The required baskets of grapes is 12 and plums is 23 that should he put in each packages.

Linear Equation:

Linear equation is a way of mathematics to simplify the two or more if they are in linear that is of the degree one

If there is 2 variable then we require two number of equation for unique solution.

Consider x be the number of basket of grapes and y be the number of basket of plums then by the given conditions

5x + 10y = 290     ... (1)

x + y = 35              ... (2)

Multiplying equation (2) by 10and subtract from (1) we have

5x + 10y - 10x  - 10y = 290 - 350

-5x = -60

x = 12

Substitute the value of x into equation (1) we have

5(12) + 10y = 290

10y = 290 - 60

y = 230/10

y = 23

Therefore the final answer is 12 basket of grapes and 23 baskets of plums.

Learn more about Linear Equation here-

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