5 Maths questions a day (2)

1. There were 3/4 as many boys as girls at a birthday party. After 12 boys left the party and 8 more girls joined the party, there were 30 more girls than boys remaining at the party. Find the number of boys at the party at first. (5m)

2. Jon and Hakim saved $804 altogether. 1/5 of Jon’s savings was $48 less than 1/4 of Hakim’s savings. How much more did Hakim save than Jon? (5m)

3. A car and a van travelled from A to B. The car reached B in 2h but the van had only travelled 70% of the distance. The speed of the van was 30km/h slower than the car.
a) Find the distance between A and B. (3m)
b) Find the speed of the van in km/h. (2m)

4. Hanah, Ivan and Jieli had some stickers. The ratio of the number of stickers Hanah had to the number of stickers Jieli had was 5:7. The total number of stickers Hanah and Ivan had altogether was 3 times as many stickers as what Jieli had. Ivan and Jieli had 69 stickers altogether. How many stickers did Ivan have? (4m)

5. Ben, Dan, Mark and Imran had a sum of money. Ben had 3/8 of the amount that Dan had. Dan had 60% more money than Mark. Imran had 75% of the total amount of money the three boys had. If Imran spent 25% of his money, he would have $270 left. What was the original sum of money the four boys had? (4m)