Two numbers are in the ratio 5: 6. If the sum of the numbers is 77, find the value of the larger number. Can someone explain how to proceed to find the answer?
Thank you!

42

Step-by-step explanation:

sum the parts of the ratio, 5 + 6 = 11 parts

Divide the sum by 11 to find the value of one part of the ratio.

77 ÷ 11 = 7 ← value of 1 part of the ratio , thus

6 parts = 6 × 7 = 42 ← larger number

let x be the money she spent so that she can earn the free t-shirt.

since, she already spent $112.49

⇒

also, as per the statement: jennifer must spend $250 or more in order to qualify for a free t-shirt at the store.

then,

we have an inequality i.,e

subtract 112.49 from both sides we get;

therefore, $137. 51 more money does jennifer need to spend so that she can earn the free t-shirt