.4 and .40 are indeed the same amount.
We usually drop the 0 in the 100'ths place when it is not necessary for indicating money or solving a problem with 2 decimals.
Also realize that .400 .4000 etc are all the same as well.
15. The left triangle is similar to the whole triangle. The x of the small triangle is proportional to the hypotenuse of the large triangle (9+16 =25). the x of the large triangle is proportional to the 9 unit leg of the small triangle. this creates the proportion
. Cross multiply to get
take the square roots of both sides to get x=225
Set up a proportion and then cross multiply to solve. OR. 15/5 = $3 per bag is the unit rate per 1 bag.
Multiply 27*3=$81
9514 1404 393
Answer:
- 198
- $1.20
Step-by-step explanation:
1. Let x represent the number of apples left. Then the number of mangosteens left is 1/6x. The starting number in each case is the number left plus the number sold. The starting numbers are equal, so we have ...
x + 201 = (1/6)x +366
5/6x = 165 . . . . . . . . . . subtract 1/6x+201
x = 198 . . . . . . . . multiply by 6/5
198 apples were left.
__
2. Let d represent the cost of a drink. The cost of a drink is 3/5 the cost of a snack, so the cost of a snack is 5/3 the cost of a drink. Then Alice's total expenditure was ...
15d +12(5/3d) = 42
35d = 42 . . . . . . . . . . . . . . collect terms
d = 42/35 = 6/5 = 1.20 . . . divide by 35
The cost of a drink was $1.20.
