Question

If the ratio StartFraction negative 294 Over x plus 10 EndFraction is equivalent to 21​, find the value of x. Use pencil and paper. Write another pair of equivalent ratios like these. Show how to find the value of x.

Answer 1

(1)x=-24

(2)Another pair of equivalent ratio is:

`(-64)/(x+5)=8$ where $x=-13`

Explanation:

Given the ratio:

`(-294)/(x+10)=21`

Part 1: We determine the value of x.

`(-294)/(x+10)=21\\$Cross multiply$\\21(x+10)=-294\\21x+210=-294\\$Collect like terms$\\21x=-294-210\\21x=-504\\$Divide both sides by 21$\\x=-24`

Part 2: We write another pair of equivalent ratios.

Let

`(-64)/(x+5)=8\\$Cross multiply$\\8(x+5)=-64\\8x+40=-64\\$Collect like terms$\\8x=-64-40\\8x=-104\\$Divide both sides by 8$\\x=-13`