Step-by-step explanation:
so, the best way to help you is to help you understand how to solve such problems yourself.
let me know if you still don't understand something :
4.
this you can solve just by common sense.
let's see if you understand it with smaller numbers :
1 ball costs $3. how much will 2 balls cost ? well, twice as much : 2×3 = $6.
how much will 3 balls cost ? hmmm ? three times as much : 3×3 = $9.
and so on.
so, how much will 10 balls cost ? right, ten times a much : 10×3 = $30.
now,
8 eggs for 3 cups of flour.
how many eggs for 30 cups of flour ? you notice that 30 is 10 times 3, right ?
yes, ten times a many eggs : 10×8 = 80 eggs.
5.
3 quarters simply means 3/4.
if we want to know how much 3/4 of something is, we have to multiply that something by 3/4.
so, for 60 students :
60 × 3/4 = 180/4 = 45 students bring a lunch from home.
6.
similar to 4.
5 books in 2 days.
how many books in 8 days ?
you notice that 8 is 4 times 2 ?
so, yes, 4 times as many books : 4×5 = 20 books.
7.
now we are getting into areas, where we need more thinking and apply formal mathematics.
10 pounds jam requires 5 pounds apples.
8 pounds jam require x pounds apples.
the easiest way is to use ratios :
jam to apples = 10/5 = 2/1 = 2
8 pounds jam to x pounds apples must follow the same ratio, as we are using the same recipe.
8/x = 2
8 = 2x
x = 4
so, to get 8 pounds of jam we need 4 pounds of apples.
8.
it seems they were very, very hungry ...
Jenny ate 6 1/4 pizzas.
Dolly ate 5 1/4 pizzas.
6 1/4 = (6×4 + 1)/4 = 25/4
5 1/4 = (5×4 + 1)/4 = 21/4
so, Jenny ate 25/4 / 21/4 = 25/21 = 1.19047619... times more pizza.
or in other words she ate
25/4 - 21/4 = 4/4 = 1 more pizza.
9.
so, he wins 5 of every 15, that is a ratio of 5/15 = 1/3.
he had 75 matches. 1/3 of 75 matches (see also 5.) means
75 × 1/3 = 75/3 = 25.
he won 25 matches.
10.
Mrs. Paul is 145 cm tall.
the daughter is 1/5 of that. see 5. and 9. :
1/5 of 145 means
145 × 1/5 = 145/5 = 29 cm
her daughter is 29 cm tall (a baby).
