Answer:
There are 585 adults and children
Step-by-step explanation:
Let the number of adults be a, number of children be c and the number of seniors be a
Amount made per group;
adults; 52 * a = 52a
Children : 26 * c = 26c
Seniors = 20 * s = 20s
Adding all will give 20,490
52a + 20s + 26c = 20 490 ••••(i)
Now let us work with the ratios;
a : s = 6 : 1
a/s = 6/1
a = 6s •••••(ii)
Lastly;
a/c = 4/9
4c = 9a ••••(ii)
We want to get a + c
From the first equation , let’s substitute
52(6s) + 20s + 26c = 20,490
26c = 6.5 (4c)
but 4c = 9a; 6.5(9a)
But a = 6s
So we have; 6.5(9)(6s) = 351s
so we have;
312s + 351s + 20s = 20,490
683s = 20,490
s = 20490/683
s = 30
Recall;
a = 6s = 6 * 30 = 180
4c = 9a
4c = 9 * 180
c = (9 * 180)/4 = 405
So the total number of children and adult is a + c
405 + 180 = 585
Answer:
7 songs
Step-by-step explanation:
12+15+11 is 38
45-38 is 7.
Yes they are. if you multiply numerator and denominator of 3/7 by 6, you get 18/42
Answer:
After 7.5 years we will have enough money in the account to purchase the car.
Step-by-step explanation:
Amount needed to be saved = $10000
Principal = $6500
So, Simple Interest = $3500
Rate of Interest = 7.5%
= 0.075
Now, Simple Interest = Principal × Rate × Time
⇒ 3500 = 6500 × 0.075 × Time
⇒ 3500 = 487.5 × Time
⇒ Time = 7.18 years ≈ 7.5 years
Hence, after 7.5 years we will have enough money in the account to purchase the car.
Step-by-step explanation:
Answer:
Karen needs $2400 to reach her goal of 2,700
she will need to work for 300 hours
Step-by-step explanation:
