Pablo wants to spend $100 on clothing and he wants to purchase 6 additional clothing pieces for his wardrobe. each pair of pants costs $20 and each shirt costs $15. part a. identify the system of equation that represents this situation. part b. determine if pablo can buy 2 pair of pants and 4 shirts? explain your answer.

A.

B. Yes, Pablo can buy 2 pair of pants and 4 shirts.

Step-by-step explanation:

A. Let x be the number of pairs of pants and y be the number of shirts.

We have been given that Pablo wants to purchase 6 additional clothing pieces for his wardrobe. We can represent this information as:

We are also told that each pair of pants costs $20 and each shirt costs $15. So the cost of x pairs of pants will be 20x and cost of y shirts will be 15y.  

As Pablo wants to spend $100 on clothing, so we can represent this information as:

Therefore, the system of equation representing the given situation will be:

B. To find if Pablo can buy 2 pair of pants and 4 shirts we will substitute x=2 and y=4 in our both equations.

We can see that x=2 and y=4 satisfies our both equation, therefore, Pablo can buy 2 pair of pants and 4 shirts.

< 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)