Question

Write the word expression in mathematical symbols.

The value in cents of 4 quarters and x dimes is _____.

10 + 100x
100 + 25x
25 + 10x
100 + 10x
10 + 25x
10x + 25

Answer 1

The value of dime is 0.10 of a dollar or 10 cents and that of quarter is 25 cents or 0.25 dollars. The value of 4 quarters in cents is equal to 4(25 cents) or 100 cents. x dimes will have a value of 10x. Adding them together gives an answer of,
                                     100 + 10x

Answer 2

Dear Student,

● Answer -

100 + 10x cents

● Explanation -

We know, 1 quarter = 25 cents.

4 quarter = 4 × 25 cents

4 quarter = 100 cents

Also, 1 dime = 10 cents.

x dimes = x × 10 cents

x dimes = 10x cents

Now, 4 quarters and x dimes will be -

4 quarters + x dimes = 100 + 10x cents

Hence, value of 4 quarters and x dimes will be 100 + 10x cents.

Thanks dear. Hope this helps you...