The number of stamps that kaye and alberto had were in the ratio 5 : 3, respectively. after kaye gave alberto 10 of her stamps, the ratio of the number kaye had to the number alberto had was 7 : 5. as a result of this gift, kaye had how many more stamps than alberto?
a. 20
b. 30
c. 40
d. 60
e. 90

D.

Step-by-step explanation:

Let the number of stamps Kaye had be k and that of Alberto be a. Then we know that are in a ratio of 5 to 3.

Hence, k : a = 5:3

or 3k = 5a

Then Kaye gave Alberto 10 of her stamp to make the ratio 7:5

k - 10/a + 10 = 7/5

Cross multiply:

5(k - 10) = 7(a + 10)

5k - 50 = 7a + 70

5k - 7a = 120

Let us now solve the last equation simultaneously with the equation 3k = 5a

5k - 7a = 120

3k - 5a = 0

Multiply equation 1 by 3 and equation 2 by 5

15k - 21a = 360

15k - 25a = 0

Subtract 1 from 2, 4a = 360

and thus a = 90

We know 3k = 5a

3k = 5 * 90

k = 450/3 = 150

Now if we subtract 90 from 150, this yields 60

it has 4

step-by-step explanation:

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fetish

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clee hd

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3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!