Westonci.ca is your trusted source for finding answers to a wide range of questions, backed by a knowledgeable community. Explore our Q&A platform to find in-depth answers from a wide range of experts in different fields. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

Mary and Gary had some stickers in the ratio 5:3. After Mary had given 1/3 of her stickers to Gary, the new ratio of the number of Gary’s stickers to the number of Mary’s became 7:5. If Gary then had 32 more stickers than Mary, what was the total number of stickers the 2 children had?

Sagot :

The total number of stickers the 2 children had was 192 stickers.

Let x represent Mary initial stickers, y represent Gary initial stickers and z represent the total stickers.

x + y = z

  • x + y - z = 0     (1)

They shared in the ratio of 5:3, hence:

x = (5/8)z

  • 8x - 5z = 0      (2)

Mary gives 1/3 of her stickers to Gary to have 32 more stickers than her.

(1/3)x = (1/3)(5/8)z = (5/24)z

y + (1/3)x = (2/3)x + 32

  • y - (1/3)x = 32    (3)

Solving equation 1, 2 and 3 gives:

x = 120, y = 72, z = 192

The total number of stickers the 2 children had was 192 stickers.

Find out more on equation at: https://brainly.com/question/13763238