SOLUTION: Please help me solve this equation: Frank, Dawn and Robert went to the grocery store to purchase some sandwich meat. Frank bought 300 grams of ham and 200 grams of turkey breast

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Question 352472: Please help me solve this equation:
Frank, Dawn and Robert went to the grocery store to purchase some sandwich meat. Frank bought 300 grams of ham and 200 grams of turkey breast for $8.90. Dawn bought 100 grams of ham and 300 grams of chicken breast for $9.00. Robert bought 200 grams of turkey breast and 200 grams of chicken breast for $9.40. What are the prices / 100 grams for ham, turkey breast and chicken breast?
Thanks so much!!

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = price/100 grams ham
Let = price/100 grams turkey breast
Let = price/100 grams chicken breast
given:
(1) (in cents)
(2)
(3)
---------------
There are 3 equations and 3 unknowns, so
it's solvable
Subtract (1) from (3)
(3)
(1)



Substitute this in (2)




Substitute this in (2)
(2)



Substitute in (3)
(3)



$1.50 = price/100 grams ham
$2.20 = price/100 grams turkey breast
$2.50 = price/100 grams chicken breast

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