Answer:
They buy 6 hotdogs and 5 popcorn
Step-by-step explanation:
Assume that they buy x hotdogs and y popcorn
∵ They buy a total of 11 hotdogs and popcorn
∵ The number of hotdogs is x and the number of popcorn is y
∴ x + y = 11 ⇒ (1)
∵ Hot dogs cost $2.50 each
∵ Popcorn costs $1.00 each
∵ They spend $20 on hot dogs and popcorn
→ Multiply x by 2.5 and y by 1, add the products and equate the sum by 20
∴ 2.5(x) + 1(y) = 20
∴ 2.5x + y = 20 ⇒ (2)
Now we have a system of equations to solve it
→ Subtract equation (1) from equation (2)
∵ (2.5x - x) + (y - y) = (20 - 11)
∴ 1.5x + 0 = 9
∴ 1.5x = 9
→ Divide both sides by 1.5 to find x
∴ x = 6
→ Substitute the value of x in equation (1) to find y
∵ 6 + y = 11
→ Subtract 6 from both sides
∴ 6 - 6 + y = 11 - 6
∴ y = 5
∴ They buy 6 hotdogs and 5 popcorn
Answer:
see below
Step-by-step explanation:
2+7 = 9
9+7 = 16
16+7 = 23
We are adding 7 each time
an = a1+ 7(n-1) where an is the nth term a1 is the first term and n is the term number
an = 2 + 7n - 7
an = 7n -5
or
an+1 = an +7
Amount left = $450 - $171 = $279
Amount left in Percentage = 279/450 x 100 = 62%
Answer: (C) 62%
Hi there!
Using compatible numbers it would be:
12 ÷ 2 = 6.
Now when you divide it, the answer would be close to 6.
So, 12 ÷ 2 = 6 would be using compatible numbers.
Hope this helps ;)
