Two grandmothers

Two grandmothers went to the market to sell eggs, and they had 100. When they sold all the eggs, they made the same money. The first grandmother said to the second, "If I sold my eggs for your price, I would earn 15 crowns. " The other grandmother replied, "If I sold my eggs for your price, I would get 6 and 2/3 crowns. " How many eggs did each of the bucks have? Try to find the result without solving a complex quadratic equation.

Correct answer:

a =  60
b =  40

Step-by-step explanation:

a+b=100 a c1 = b c2 a c2 = 15 b c1 = 6 + 2/3 = 320 = 6.666666  a c1 = (100a) c2 a c2 = 15 (100a) c1 = 6 + 2/3  c2 = 15/a  a c1 = (100a) (15/a) (100a) c1 = 6 + 2/3  c1 = (100a) (15/a)/a  (100a) (100a) (15/a)/a = 6 + 2/3  (100a) (100a) 15 = a2 (6 + 2/3)  3 (100a) (100a) 15=a2 (6 3+2)  3 (100a) (100a) 15=a2 (6 3+2) 25a29000a+450000=0 25=52 9000=233253 450000=243255 GCD(25,9000,450000)=52=25  a2360a+18000=0  p=1;q=360;r=18000 D=q24pr=36024118000=57600 D>0  a1,2=2pq±D=2360±57600 a1,2=2360±240 a1,2=180±120 a1=300 a2=60  0<a<100 a=a2=60  c1=(100a) (15/a)/a=(10060) (15/60)/60=610.1667  c2=15/a=15/60=41=0.25

Our quadratic equation calculator calculates it.

b=100a=10060=40   Verifying Solution:   L1=a c1=60 0.1667=10 P1=b c2=40 0.25=10  L1=P1  L2=a c2=60 0.25=15 P2=b c1=40 0.1667=320=6326.6667



Did you find an error or inaccuracy? Feel free to write us. Thank you!







Tips for related online calculators
Are you looking for help with calculating roots of a quadratic equation?
Do you have a linear equation or system of equations and looking for its solution? Or do you have a quadratic equation?

You need to know the following knowledge to solve this word math problem:

Related math problems and questions: