Answer:
a. 18
b. 45
Step-by-step explanation:
The question states that 2/5 of the class are girls which means 3/5 are boys:

Divide this value by 3 to get the value of
:
27 ÷ 3 = 9
Multiply this by 5 to find
, the total pupils in the class:
9 x 5 = 45
As the number of girls is
of the total pupils:
9 x 2 = 18
So there are 18 girls in the class which has a total pupil size of 45.
Hope this helps!
Step-by-step explanation:
Let
b=number of two storey houses,
t=number of three storey houses,
the total number of stories on Algebra Avenue is 95 more than the total number of houses on Algebra Avenue.
2b+3t-95=b+t =>
b+2t=95 .................(1)
The number of two-story houses is three times greater than the number of three-story houses.
b=3t .....................(2)
Substitute (2) in (1)
3t+2t = 95
5t=95
t=19 ......................(3)
substitute (3) in (2)
b=3t=3*19 = 57 .........(4)
Substitute (3) & (4) in (1)
b+2t=57+2*19=95 checks
Substitute (3) & (4) in (2)
b=3t=3*19=57 checks.
Answer:
I do not think this is proportional.
The balance of the loan at 14 months= $10,561.25
It would take a total 23 months to pay off the loan.
The total amount of money paid for the car is = $9,052.5
<h3>Calculation of loan compounded monthly</h3>
The total loan for the car = $8,500
The rate at which the loan is compounded monthly is
= 6.5%
The monthly payment for the loan = $390
- To calculate the balance of the loan at 14 months;
Find the simple interest
= P×T×R/100
= 8,500 × 1 × 6.5/100
= 55,250/100
= $552.5
If 12 months = 8,500 + 552.5
14 months = X
make X the subject of formula,
X = 14 × 9052.5/12
X= 126,735/12
X = $10,561.25
- To calculate the period of time it will take to pay off the loan
The amount paid monthly = $390
The amount to be paid for the loan with interest = 8,500 + 552.5 = $9,052.5
If 1 month = $390
× month = $9,052.5
Make X the subject of formula,
X = $9,052.5/$390
X= 23 months
The total amount of money paid for the car is already calculated which is through the simple interest
= P×T×R/100
= 8,500 × 1 × 6.5/100
= 55,250/100
= $552.5
- Total amount of money paid for the car
= 8,500 + 552.5
= $9,052.5
Learn more about simple interest here:
brainly.com/question/20690803
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