Problem 33
Use the distributive property on the side containing parentheses of each expression and compare it to the other side.
a) 3(5a + 3) = 15a + 9 not equal to 15a + 6
b) 2(7b - 2) = 14b - 4 not equal to 14b + 4
c) 5(2c + 3) = 10c + 15 not equal to 7c + 8
d) 3(d + 5/3) = 3d + 5 which is equal to 3d + 5
Answer for problem 33: d)
Problem 34
Use a proportion. Let the unknown number of bowls be x. The proportion is made up of two ratios that are set equal to each other. Set each ratio as a ratio of the number of avocados per bowls of guacamole. 3 avocados per 1 bowl (3/1) equals 17 avocados per x bowls (17/x).
[tex] \dfrac{3}{1} = \dfrac{17}{x} [/tex]
[tex] 3x = 17 \times 1 [/tex]
[tex] 3x = 17 [/tex]
[tex] x = \dfrac{17}{3} [/tex]
[tex] x = 5 \dfrac{2}{3} [/tex]
Answer: 17/3 full bowls which is the same as 5 2/3 full bowls.
