SOLUTION: Please help me solve this problem: China earned a total of 100 medals at the 2008 Beijing Summer Olympics. The number of gold medals earned was 23 more than the number of bronze m

Question 613804: Please help me solve this problem:
China earned a total of 100 medals at the 2008 Beijing Summer Olympics. The number of gold medals earned was 23 more than the number of bronze medals. The number of bronze medals earned was 7 more than the number of silver medals. How many of each kind of medal did China earn?
So far I set up my equation as 100= x+23+x+7 (x counting as the medals). I'm very confused from this point. Thanks!
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
"total of 100 medals" ___ g + s + b = 100

"The number of gold medals earned was 23 more than the number of bronze medals" ___ g = b + 23

"The number of bronze medals earned was 7 more than the number of silver medals" ___ b = s + 7 ___ s = b - 7

substituting ___ (b + 23) + (b - 7) + b = 100 ___ 3b + 16 = 100

solve for b; then substitute back to find g and s
RELATED QUESTIONS
In the 2004 Summer Olympics in Athens, Greece, the USA earned 6 more gold medals than... (answered by Alan3354)

In the 2016 Summer Olympics, China, the United States, and Great Britain won a combined... (answered by math_helper)

Please help me with this problem: In the Olympics, the Canadian team won a total of 22... (answered by stanbon)

in the 2016 olympics, china, us, and grrst britain won a combined total of 258 medals.... (answered by greenestamps)

The United States earned 104 medals at the 2012 Summer Olympics. The number of silver... (answered by rothauserc)

In the 2004 summer olympics, the United states team won 3 more gold medals than the... (answered by Mathtut)

At the Winter Olympics in Lillehammer, Norway, the number of gold medals Canada won was... (answered by ikleyn)

At the 2006 Winter Olympics in Italy, the top medal winner was Germany, which won a total (answered by ewatrrr,ReadingBoosters,Theo)

in the 2016 summer olympic, host brazil earned 1 more gold medal than silver. the number... (answered by greenestamps)