Answered

Westonci.ca makes finding answers easy, with a community of experts ready to provide you with the information you seek. Connect with a community of experts ready to help you find accurate solutions to your questions quickly and efficiently. Get immediate and reliable solutions to your questions from a community of experienced professionals 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

We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.