Colton has a change jar that contains $7.75 in half dollars and quarters. He has 13 more quarters than half dollars. How many of each type of coin does he have?

Question

cheshirecat200p9ul3s cheshirecat200p9ul3s

11-06-2018
Mathematics

contestada

Colton has a change jar that contains $7.75 in half dollars and quarters. He has 13 more quarters than half dollars. How many of each type of coin does he have?

Respuesta :

Otras preguntas

Order these numbers least to greatest please thanks I’m lazy 35.6, 7.4, 6.2, 27.7, -28.4, -32.2, -27.9, 17.1, -35.2

Which element is a noble gas? A. W B. Ar C. N D. Er

A uniform distribution is defined over the interval from 6 to 10. a. what are the values for a and b? b. what is the mean of this uniform distribution? c. what

Which is different? Solve 3x+6y=24 for x . Solve 24−3x=6y for x . Solve 6y=24−3x for y in terms of x . Solve 24−6y=3x for x in terms of y . Question

Brass alloy is best described as _______.

Find the values of x and y in the following equation (x+yi)+(4+9i)=9-4i A. x = 9 and y = -4 B. x = 5 and y = -13 C. x = -9 and y = 4 D. x = 5 and y = 13

The fair market rental rate for Columbus was $730 in 2013 and $551 in 2003. Find the rate of change for rent in Columbus during this period

How much lemon juice did Damon use in the lemonade

2,221 thousand What’s the answer

Find b and c so that y=-14x^2+bc+c has vertex (-9,8)

Americ Americ · Answer 1 · 2018-06-11T02:58:05+02:00

x= number of half dollars
x + 13= number of quarters

$0.50x + $0.25(x + 13)= $7.75

$0.50x + $0.25(x + 13)= $7.75
multiply 0.25 by parentheses

0.50x + (0.25 * x) + (0.25 * 13)= 7.75

0.50x + 0.25x + 3.25= 7.75
combine like terms

0.75x + 3.25= 7.75
subtract 3.25 from both sides

0.75x= 4.50
divide both sides by 0.75

x= 6 half dollars

QUARTERS
= x + 13
= 6 + 13
= 19 quarters

CHECK
$0.50x + $0.25(6 + 13)= $7.75
0.50(6) + 0.25(19)= 7.75
3 + 4.75= 7.75
7.75= 7.75

ANSWER: There are 6 half dollars and 19 quarters.

Hope this helps! :)