can you help me with a word problem

Question

Cate wants to buy a new bike. For every $7 she contributes her parents will contribute $3 if cate contributes $203 she has earned from her part time job how much will her parents contribute

 

Answer 1

 This is a problem of proportion:

 

   For every 7 dollar contribution of Cate , her parents contribute  3 dollars

 

    Now for 203 dollar contribution how much her parents add.

 

      First you should find out how many 7 dollars Cate has contributed that has added up to 203

 

       203÷ 7 = 29

 

       so the parents contribution would be $29 * 3 = $87 

  

       I am sure in 3rd and 4th grade, without algebra you have solved problems like this.

 

           Now  by algebra we choose a variable  X , for the contribution of parents, and write the proportion relation.

 

 

 

        7   = 203

        3       X

 

        This reads : the ratio of contribution of Cate to her parents' is 7 to 3.

 

       and solve for X. 

 

           7x = 203 * 3 = 609

 

           X = 609/7 = 87     

Answer 2

You first have to write the ratio. If for every $7 that Cate earns, her parents add $3, than for the $203 they will add $x.
The ratio is:

7 : 3 = 203 : x

These could be presented as fractions:
7/3 = 203/x

Now we just need to solve this simple equation:
7 x= 203 . 3
7X = 609
X = 609÷7
X = 87

Cate’s parents will contribute $87 for the $203 that she earned. Altogether her money is: $203 + $87 = $290.

 

I hope this helps!
I hope Cate will be able to buy a bike!:)

Answer 3

Let x be the amount contributed by her parents.

Using proportion,

x/203 = 3/7

Solving for x,

x = $87