Answer:
- The numbers are 8 and 10.
Step-by-step explanation:
Let the numbers be x and y.
The sum of two numbers is eighteen:
The total of three times the smaller and twice the larger is forty-four:
Solve the system by substitution:
Substitute x and solve for y:
- 3(18 - y) + 2y = 44
- 54- 3y + 2y = 44
- 54 - y = 44
- y = 54 - 44
- y = 10
Find x:
Answer:
112
Step-by-step explanation:
Define the variables:
x = number of French students sent by the school
Write the equation:
x / 21 = 1 / 3
Solve:
x = 7
The school sent 7 French students and 21 German students, for a total of 28 students.
The other 3 schools also sent 28 students. So the total number of students sent is:
4 × 28 = 112
Answer:
In week 1, 69.15% of sales were 10-inch pizzas, and the remaining 30.85% were 12-inch pizzas; while in week 2, 71.09% of sales were 10-inch pizzas, and the remaining 28.91% were 12-inch pizzas.
Step-by-step explanation:
Given that a takeaway sells 10 inch pizzas and 12 inch pizzas, to determine what proportion sold were 10 inch pizzas in week 1 and what proportion sold were 10 inch in week 2, the following calculation must be performed:
Week 1 = 736 total sales
10-inch pizzas = 509
736 = 100
509 = X
509 x 100/736 = X
50,900 / 736 = X
69.15 = X
100 - 69.15 = 30.85
Thus, in week 1, 69.15% of sales were 10-inch pizzas, while the remaining 30.85% were 12-inch pizzas.
Week 2 = 1076 total sales
10-inch pizzas = 765
1076 = 100
765 = x
765 x 100/1076 = X
76500/1076 = X
71.09 = X
100 - 71.09 = 28.91
Thus, in week 2, 71.09% of sales were 10-inch pizzas, while the remaining 28.91% were 12-inch pizzas.
