Answered

Welcome to Westonci.ca, where curiosity meets expertise. Ask any question and receive fast, accurate answers from our knowledgeable community. Our Q&A platform provides quick and trustworthy answers to your questions from experienced professionals in different areas of expertise. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

Joni has two cats in the yard, Stephen and Graham. If both animals gained 20 pounds, Stephen would be 25% heavier than Graham. For what it’s worth, if they both lost 20 pounds, Stephen would be 50% heavier than Graham. How much does each animal weigh?

Sagot :

semsee45

Answer:

Stephen weighs 80 lbs

Graham weighs 60 lbs

Step-by-step explanation:

Let Stephen the cat = S

Let Graham the cat = G

25% heavier = 125% = 125/100 = 1.25

50% heavier = 150% = 150/100 = 1.5

If both animals gained 20 lbs, S would be 25% heavier than G:

    S + 20 = 1.25(G + 20)  

⇒          S = 1.25(G + 20) - 20

⇒          S = 1.25G + 5

If both animals lost 20 lbs, S would be 50% heavier than G:

    S - 20 = 1.5(G - 20)  

⇒          S = 1.5(G - 20) + 20

⇒          S = 1.5G - 10

Equate both equations for S, and solve for G:

                 S = S

⇒ 1.25G + 5 = 1.5G - 10

⇒     -0.25G = -15

⇒              G = 60

Substitute found value for G into one of the equations for S and solve for S:

    S = 1.5G - 10  

⇒  S = 1.5 x 60 - 10

⇒  S = 90 - 10

⇒  S = 80

Stephen weighs 80 lbs

Graham weighs 60 lbs

Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.