Eugene and Scott are selling flower bulbs for a school fundraiser. Customers can buy bags of windflower bulbs and packages of crocus bulbs. Eugene sold 14 bags of windflower bulbs and 5 packages of crocus bulbs for a total of $257. Scott sold 11 bags of windflower bulbs and 1 package of crocus bulbs for a total of $158. How much does a bag of crocus bulbs cost?

A bag of crocus bulbs costs $15

Step-by-step explanation:

Assume that x is the cost of a bag of windflower bulbs and y is the cost of a package of crocus bulbs

∵ The cost of a bag of windflower bulbs is $x

∵ The cost of a package of crocus bulbs is $y

∵ Eugene sold 14 bags of windflower bulbs and 5 packages

   of crocus bulbs for a total of $257

- Multiply x by 14 and y by 5, then equate the sum of the

   products by 257

∴ 14x + 5y = 257 ⇒ (1)

∵ Scott sold 11 bags of windflower bulbs and 1 package of

   crocus bulbs for a total of $158

- Multiply x by 11 and y by 1, then equate the sum of the

    products by 158

∴ 11x + y = 158 ⇒ (2)

Now we have a system of equations to solve it

Multiply equation (2) by -5 to make the coefficients of y equal in value and opposite in signs

∵ -55x - 5y = -790 ⇒ (3)

- Add equations (1) and (3) to eliminate y

∴ -41x = -533

- Divide both sides by -41

∴ x = 13

Substitute the value of x in equation (1) or (2) to find y

∵ 11(13) + y = 158

∴ 143 + y = 158

- Subtract both sides by 143

∴ y = 15

A bag of crocus bulbs costs $15

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explanation

the graph has a slope of 1/3 because each time you move up 1, you go to the right 3. so, slope = rise/run = 1/3. we can cross choice a off the list since we want a slope of 3, rather than 1/3.

the first table shown has a slope of -3. this is because the rise is -6 and the run is 2, so slope = rise/run = -6/2 = -3. note how x increases by 2 each time (run) and y drops by 6 each time (rise). choice b can be eliminated.

the second table has a slope of 3. each time x goes up by 1, the y values increase by 3. slope = rise/run = 3/1 = 3. alternatively you can use the slope formula to prove that the slope is 3 here. use any two rows of values to generate the two points. choice c is one of the answers

the third table also has a slope of 3. let's use the slope formula to prove as such. i'm going to use the first two rows of the table. so i'll use the two points (2,1) and (5,10)

m = slope

m = (y2-y1)/(x2-x1)

m = (10-1)/(5-2)

m = 9/3

m = 3 so we get a slope of 3

choice d is the other answer

mr. graef told us it is 13 pints

step-by-step explanation: