Answered

Join the growing community of curious minds on IDNLearn.com. Our platform offers reliable and detailed answers, ensuring you have the information you need.

Two grapefruits and three oranges cost $1.95. Three grapefruits and two oranges cost $2.05.
What are the costs of one grapefruit and one orange?

Sagot :

Fieryanswererftidn

Answer:

  • one orange costs $0.35  and  one grapefruit costs $0.45

Step-by-step explanation:

let grapefruits be g , let oranges be o

so first equation:

→2g + 3o  = $1.95

→g = ($1.95 - 3o)/2

so second equation:

→ 3g + 2o = $2.05

→ g = ($2.05 - 2o)/3

Solving simultaneously:

→ ($2.05 - 2o)/3 = ($1.95 - 3o)/2

→ 2($2.05 - 2o) = 3($1.95 - 3o)

→ 4.1 - 4o = 5.85 - 9o

→ - 4o + 9o = 5.85 - 4.1

→ 5o = 1.75

→ o = $0.35

Therefore one orange costs $0.35

Then one grapefruit costs g → ($1.95 - 3o)/2

                                               → g = ($1.95 - 3(0.35))/2

                                               → g = 0.45

Therefore one grapefruit costs $0.45

Your participation means a lot to us. Keep sharing information and solutions. This community grows thanks to the amazing contributions from members like you. IDNLearn.com is committed to providing accurate answers. Thanks for stopping by, and see you next time for more solutions.