Tom bought 4 cans of pineapple and 11 bottle of mayonnaise. The mayonnaise cost $2.89. He paid with a ten-dollar bill ($10 ) and received $0.35 change. a. Write an equation to find the cost of a can of pineapple, p.

b. What is the cost of each can of pineapple?

a.

b. $0.15 per can of pineapple

Step-by-step explanation:

a. 1. Here we need to make a variable () that represents the unknown cost of one single can of pineapple, then multiply by the total number of cans, which we are told is 44.

2. The second term is the cost of the 11 bottes of mayonnaise, which we know to be $2.89. We add this to the first term.

3. We know that the total of these two numbers should be equal to the total amount of money that Tom spent. This number will be the amount he gave the cashier ($10) MINUS the change the cashier gave back to him ($0.35)

4. Now that we have formed an equation, we just need to solve for .

  Equation

 Simplify parentheses on the right and subtract 2.89 from both sides.

 Simplify on the right side again to find 6.76, then divide both sides by 44.

Simplify and give this value units ($) to find your final answer to question b.

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby   (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)