Students in band are selling oranges and grapefruit to earn money for a trip. mrs. whitten purchased three boxes of oranges and two boxes of grapefruit from a student for a total of $22.50. mr. rutig purchased one bag of oranges and four boxes of grapefruit, spending a total of $28.50. how much is one box of oranges?

The cost of one box of oranges = $3.3

Step-by-step explanation:

Let x be cost of one box of oranges and y be the cost of one box of grapefruit.

We have been given that Mrs. Whitten purchased 3 boxes of oranges and 2 boxes of grapefruit from a student for a total of $22.50. We can represent this information as:

Mr. Rutig purchased 1 box of oranges and four boxes of grapefruit, spending a total of $28.50. We can represent this information as:

We will solve our system of linear equations using substitution method.

From equation (1) we will get,

Substituting y's value in equation (2) we will get,

Upon distributing 2 we will get,

Therefore, the cost of one box of oranges is $3.3.

answer with step-by-step explanation:

a. ∠j is supplementary to ∠k - true:

(opposite angles of a trapezoid are supplementary which means that they add up to 180 degrees)

b. kl is parallel to jm - true:

(opposite sides are parallel to each other in a trapezoid)

c. jk is perpendicular to kl - false:

(clearly, jk does not make a right angle with kl)

d. jk is parallel to lm - false:

(jk and lm are two lines opposite in direction to each other so they cannot be parallel)

e. ∠j is congruent to ∠m - true:

(the angles on each side of the base are congruent)

f. ∠j is congruent to ∠k - false:

(the angles on the same side but opposite side of the base are not congruent)

109 is the nearest whole number/final answer! : )