• 4-75. See below: a. 5 scoops to 8 cups or 5 scoops:8


4-75. See below:
a. 5 scoops to 8 cups or 5 scoops:8 cups or
.
b. She needs 7.5 scoops of powdered mix for 12 cups of water.
c. 7.5 scoops to 12 cups; it represents the same relationship

4-76. See below:
a. 30 raisins to 100 total items, Possible answers: 3 raisins: 10 total items,
15 raisins: 50 total items, etc.
b. 30 raisins: 70 peanuts or 3 raisins: 7 peanuts; If she knows that 30 out of every
100 items are raisins, then the other 70 items must be peanuts.
c. 18 raisins to 42 peanuts; 18 raisins

4-77. See below:
a. See answers below.
i.
3 bears to 15 prizes, 3 bears:15 prizes,
5 prizes, 1 bear: 5 prizes,
, or simplified, 1 bear to
.
ii.
3 bears to 2 dinosaurs, 3 bears:2 dinosaurs, or
iii.
3 bears to 12 others, 3 bears:12 others, or
these as 1 to 4 ratios.
, or students may see
b. The ratio for bears to total prizes, 3 to 15, is the probability.
c. Yes, the ratios 3:15 and 12:60 are equivalent.

4-78. See below:
a. She had 6 words correct for each 4 that she had incorrect, or
3 correct:2 incorrect.
b. Yes. Luis got

or 75% of the words correct.
4-79. See below:
a. 6:11
b. 3:11
c. 3:2
d. 2:1


4-80. See below:
a. 12 shots made: 3 shots missed or 4 shots made: 1 shot missed
b. No. Bethany made

4-81. See below:
a.
= 10
b.
c.
d.

4-82. See below:
shots or 72%, and Richie made
shots or 80%.
a. 2x + 1 or x + 1 + x
b. 3m + 5 or m + m + m + 5
c. 2y + 4 or y + 2 + y + 2

4-83. See below:
a. 10
b. 17
c. 15

4-84. See below:
a.
b. 2
c.
d. 3