SOLUTION: Hi
at a fair ghe ratio of boys to girls is 4:7.after one third of the boys and one quarter of the girls left 570 children were left.
how many were at the fair at the start.
Th
Algebra.Com
Question 1101317: Hi
at a fair ghe ratio of boys to girls is 4:7.after one third of the boys and one quarter of the girls left 570 children were left.
how many were at the fair at the start.
Thanks
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
at a fair ghe ratio of boys to girls is 4:7.
after one third of the boys and one quarter of the girls left, 570 children were left.
how many were at the fair at the start?
:
let x = the multiplier
then
4x = no. of boys
and
7x = no. of girls
:
2/3 of the boys and 3/4 of the girls stayed
4x + 7x = 570
multiply by 12 to clear the denominators
8(4x) + 9(7x) = 12(570)
32x + 63x = 6840
95x = 6840
x =
x = 72 is the multiplier
therefore originally:
4(72) = 288 boys
7(72) = 504 girls
-------------------
totals: 792 kids at the start
:
;
Check this
(288) + 504 =
192 + 378 = 570
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