Answer: (1) 70%
(2) 6 ft/sec
(3) z = 16x
(4) Ratio = 2: 9
(5) Ratio = 1 : 9
(6) Ratio = 26 : 365
(7) Percentage read =25%
(8) 410 students would eat the same type type of snack again
(9) No options provided
(10) 21 Lawns
Step-by-step explanation: (1) When Margie collected 50 seashells, it consisted of 15 smooth shells and 35 shells with ridges. The percentage of shells that had ridges can be calculated as follows;
Shells with ridges = (35/50) * 100
Shells with ridges = (7/10) * 100
Shells with ridges = 70%
(2) A car travels 120 feet in 20 seconds, this means for every second, the car travels a distance shown as
Distance per sec = 120/20
Distance per sec = 6
Therefore, the rate of speed is shown as 6 ft/s (that is, 6 feet per second)
(3) There are 8 ounces in one cup and then there are 4 cups in one quart. This means every cup of 8 ounces can be found 4 times in one quart, therefore there are
8 x 4 ounces in one quart
32 ounces in one quart.
If there are 4 quarts in one gallon, then there are 4 quarts of 32 ounces each in one gallon. That is, there are
4 x 32 ounces in one gallon
128 ounces in one gallon
Hence, if one ounce is x, one quart is y and one gallon is z
y = 4x --------- (1)
z = 4y ---------(2)
However, 4y = 4(4x)
4y = 16x
Therefore, z = 4y can now be expressed as
z = 16x
This expression shows that one gallon z, can be expressed as 16 times x (which is 8 ounces)
(4) If the recipe requires 2 tablespoons of butter, 4 tablespoons of powdered sugar and 5 tablespoons of brown sugar, then the ratio of butter to that of powdered and brown sugar is derived as follows;
Total = 2 + 4 + 5
Total = 11 units
Ratio of butter (2 units) : powdered sugar and brown sugar (9 units)
Ratio = 2 : 9
(5) A fruit salad had 126 grapes and 14 strawberries. The ratio of strawberries to grapes is derived as follows;
Ratio = 14 : 126
Ratio = 1 : 9
(6) Bob's car wash had to close 26 days out of 365 days because of bad weather. Therefore the ratio of days closed to days open due to bad weather is derived as follows;
Ratio = 26 : 365
(7) Sam has read 56 pages of a 224-page book. To calculate what percentage he has read, we shall use the following steps;
Percentage read = (56/224) * 100
Percentage read = 1/4 * 100
Percentage read = 25%
(8) If the group of 1000 students that were sampled fell into two equal halves (half tasted a plain fruit snack and half tasted a fruit snack with peanuts added), then it means 500 tasted a plain fruit snack and 500 tasted a fruit snack with peanut added. Of those who tasted a plain fruit snack, 60% said they would eat it again, therefore this number can be derived as follows;
Number to repeat snack = (60/100) * 500
Number to repeat snack = 300
Of those that tasted the snack with peanuts, 22% said they would eat the snack again, therefore this number too can be derived as follows;
Number to repeat snack = (22/100) * 500
Number to repeat snack = 110
Therefore, the number of students that would eat the type of snack they tasted once again is given as 300 + 110 and that gives you 410 students.
(9) *No options given*
(10) If Carlton can mow and trim 3 lawns every 5 days, then for 35 days the number of lawns that he can mow and trim can be calculated as follows;
Work done in 5 days = 3
Work done in 35 days = (35/5) * 3
Work done in 35 days = 7 * 3
Work done in 35 days = 21 lawns