Leah has 28 more marbles than Dan. 1/3 of Leah’s marbles is equal in number to 4/5 of Dan’s marbles. Find the number of marbles that Leah has.

48 marbles.

Step-by-step explanation:

Let Leah's marble be represented by y

Let Dan's marble be represented by z.

Leah has 28 more marbles than Dan. This will be written as:

y = z + 28 equation i

1/3 of Leah’s marbles is equal in number to 4/5 of Dan’s marbles. This will be written as:

(1/3 × y) = (4/5 × z)

y/3 = 4z/5

Cross multiply

(5×y) = (3×4z)

5y = 12z equation ii

From equation i, recall that y = z+28. This will be plug into equation ii

5y = 12z

5(z + 28) = 12z

5z+ 140 = 12z

12z - 5z= 140

7z= 140

z = 140/7

z = 20

Dan marble is 20.

Therefore Leah's marble will be:

y= z + 28

= 20+28

= 48

Leah has 48 marbles

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!

x = 25

step-by-step explanation:

a^2+b^2=c^2

7^2+24^2=c^2

49+576=625

sqrt625=25

x=25