SOLUTION: 1.Lisa sets aside $5250 for her car loan repayment each year. If this amount represents 7.5% of her salary, how much does she earn per year ? 2. Simplify 1 7/8: 3/4 The recip

Question 1074735: 1.Lisa sets aside $5250 for her car loan repayment each year. If this amount represents 7.5% of her salary, how much does she earn per year ?
2. Simplify 1 7/8: 3/4
The recipe to a particular cocktail includes guave juice, ginger beer, lime huice in the ratio of 9:4:2:1. Determine the amount of each ingredient in litres if the total about of litres is 16L. Rounded to one decimal place
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
she sets aside 5250 for her car loan repayment each year.
this amounts to 7.5% of her salary.
let x = her salary.
.075 * x = 5250
solve for x to get x = 5250 / .075 = 70,000.
she earns $70,000 each car.
she sets aside 7.5% of that for car loan repayment.
this mean she sets aside .075 * 70,000 = 5250 for car loan repayment.
this confirms the solution is correct.
the solution is that she earns 70,000 each year.

1 7/8 = 1 + 7/8

(1 + 7/8) / (3/4) is the same as (1 + 7/8) * (4/3)
(1 + 7/8) * (4/3) is the same as 1 * 4/3 + 7/8 * 4/3
simplify this to get 4/3 + 28/24/
put everything under a common denominator to get 32/24 + 28/24.
simplify to get 60/24.
60/24 is the same as 5/2.
5/2 is the same as 2 and 1/2.

alternatively, you could have converted the mixed fraction into an improper fraction and solved that way.

1 + 7/8 is equal to 15/8.
15/8 / (3/4) is equal to 15/8 * 4/3
15/8 * 4/3 is equal to 60/24.
60/24 is equal to 5/2 which is equal to 2 and 1/2 which is equal to 2.5.

alternatively, you could have converted everything to decimals and solved that way.

1 and 7/8 is equal to 1.875
3/4 is equal to .75
1.875 / .75 is equal to 2.5

your cocktail recipe includes guave, ginger, lime, and something else in the ratio of 9:4:2:1.

this means that, for every 9 parts of guave, you have 4 parts of ginver and 2 parts of lime and 1 part of something else.

the total of all the part is equal to 9 + 4 + 2 + 1 = 16 parts.

if you have 16 liters, then each part is equal to 16 / 16 = 1 liter.

you are therefore mixing together:

9 * 1 = 9 liters of guave.
4 * 1 = 4 liters of ginger.
2 * 1 = 2 liters of lime.
1 * 1 = 1 liter of something else.

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