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Three prizes are to be distributed in a Creative Design Talent Search Contest. The value of the second prize i

Three prizes are to be distributed in a Creative Design Talent Search Contest. The value of the second prize is five-sixths the value of the first prize, and the value of the third prize is fourth-fifths that of the second prize. Express the total value of the three prizes as an algebraic expression. Comment on the kind of terms of the algebraic expression. Mr. Pinto is a Web designer. He is trying to put 4 characters on a page. The space occupied by character 2 takes 5 units more than character 1, character 3 takes 7 units less than the character 2, and character 4 takes the same space as that taken by character 2. Find the total space occupied by all the characters in an algebraic expression. Comment on the kind of terms of the algebraic expression. Lisa is coloring her creation. The blue color used is 50% of the green color used, yellow is 5% of the blue color used, and brown is 7% of the amount of green used. She wants to find the total amount of color used by her. Find the total amount of color used by Lisa using an algebraic expression. Comment on the kind of terms of the algebraic expression.

Public Comments

1. q1 let 1st prize value at m. 2nd = 5m/6 3rd = (4/5) * (5m/6) total value = m + 5m/6 + 2m/3 = (6+5+4)m/6 = 15m/6 = 2.5m q2 let "2" takes m space. "4" = m "3" = m - 7 "1" = m - 5 total space occupied = (m-5) + m + (m-7) + m = 4m - 12 q3 let green be used m much. blue = 50% of m = 0.5m yellow = 5% of m/2 = 0.025m brown = 7% of m = 0.07m total amount of color used = m + 0.5m + 0.025m + 0.07m = 1.532m
2. 1. Give an arbitrary letter to the unknown for first prize. Since all of the others are based on first prize, set up equations using the relationships between them. So let a= 1st prize, b = 2nd prize and c= 3rd prize b= 5/6*a c= 4/5*b or 4/5 * 5/6*a add them all together to get the totals. Total prize value = a + b + c I'll leave the math up to you. The other two problems are similar, so if you can figure the rest of the first problem, you should be able to figure these out also. Just set the one you know to an arbitrary letter like a or x and base the rest on that. And then add them all together to get the total. As far as kinds of terms, on not up to date on the terms. I just know how to do the problems. They may be looking for something like relational equations if there is such a term. Maybe someone else has the answer there. Good luck.
3. suppose first prize is - x so second prize is 5/6x third prize is 5/6x*4/5 i.e. 4/6x suppose total prize is y adding all the prizes x+5/6x+4/6x=y so multiplying the equation by a common denominator 6, equation becomes 6x+5x+4x=6y, i.e. 15x=6y so y=15/6x i.e. y=2.5x So the value of y has to be in even number like 2,4,6---etc to get the perfect integer values of prizes