Answer:
x=22.5
Step-by-step explanation:
BM||DT
Using Intercept theorem/Intercept theorem
6(9+x)=9*21
54+6x=189
6x=135
x=22.5
At least I think so
Total amount paid by Chris = 4000 + (22500 - 4000)(1 + 0.03)^5 = 4000 + 18500(1.03)^5 = 4000 + 21446.57 = $25446.57
Total amount paid by John = 5000 + (22500 - 5000)(1 + 0.12)^5 = 5000 + 17500(1.12)^5 = 5000 + 30840.98 = $35,840.98
John paid $10,394.41 more than Chris.
Answer: price of soda (a) = $2 and price of popcorn (b) = $0.5
Step-by-step explanation:
Let's denote soda = a and popcorn = b
Kaylin bought a soda and two popcorn, writing out an equation for this would be
a + 2b = $3...........equation (i)
And her brother bought 3 sodas and 1 popcorn.
3a + b = $6.50..........equation (ii)
From equation (i),
a + 2b = 3
Making a the subject of formula,
a = 3 - 2b......equation (iii)
Using substitution reaction, put equation (iii) into equation (ii)
3(3 - 2b) + b = $6.50
9 - 6b + b = 6.50
9 - 5b = 6.50
Collecting like terms,
5b = 9 - 6.50
Divide both sides by 5,
b = 5.
Put b = 5 into equation (i)
a + 2(0.5) = 3
a + 1 = 3
a = 2
Therefore, the price of soda is $2 per one and $0.5 for each popcorn.
