Ava's credit card balance is $64. If she makes a $25 payment, then charges $79, find the balance on the card.

Mr. Sanchez’s class sold fruit pies for $1.32 each and Mr. Kelly’s class sold bottles of fruit juice for $1.77 each. Together, t

aleksklad [387]

Answer:

Part a)

The quantity of fruit pies sold was $42$

The quantity of juice bottles sold was $48$

Part b) Mr. Kelly’s class earned more money

part c) $\$29.52$

Step-by-step explanation:

Part a)

Let

x-----> quantity of fruit pies sold

y----> quantity of juice bottles sold

we know that

$x+y=90$

$x=90-y$ -----> equation A

$1.32x+1.77y=140.40$ ----> equation B

substitute equation A in equation B

$1.32(90-y)+1.77y=140.40$

$118.8-1.32y+1.77y=140.40$

$0.45y=140.40-118.8$

$0.45y=21.6$

$y=48$ bottles of fruit juice

Find the value of x

$x=90-y$ ------> $x=90-48=42$ fruit pies

Part b) Which class earned more money?

Mr. Sanchez’s class

$\$1.32x=1.32*42=\$55.44$

Mr. Kelly’s class

$\$1.77y=1.77*48=\$84.96$

therefore

Mr. Kelly’s class earned more money

Part c) How much more money did that class earn?

Find the difference

$\$84.96-\$55.44=\$29.52$

6 0

2 years ago

Adult tickets to the fall play cost $6 and student tickets cost $3. The drama class sold 25 more student tickets than adult tick

Gelneren [198K]

Let the number of adult tickets sold equal a.
Let the number of student tickets sold equal s.

The cost of the adult tickets sold is 6a.
The cost of the student tickets sold is 3s.
The total sales was $660, so we have our first equation:
6a + 3s = 660

25 more student tickets than adult tickets were sold.
That gives us our second equation
s = a + 25

We have a system of equations.

6a + 3s = 660
s = a + 25

Since the second equation is already solved for s, we can use the substitution method. Replace s of the first equation with a + 25 and solve for a.

6a + 3(a + 25) = 660

6a + 3a + 75 = 660

9a = 585

a = 65

65 adult tickets were sold.
Now we find the number of student tickets sold.

s = a + 25 = 65 + 25 = 90

Answer: The number of student tickets sold was 90.

3 0

2 years ago

The data for numbers of times per week 20 students at Stackamole High eat vegetables are shown below:

Step2247 [10]

The dot plot uses dots to for data representation.

The dot plot is right skewed
There is an outlier, 9.
The best measure of center is median

(a) The description

From the dot plot (see attachment), we have the following observations,

There are more data at the left-hand side, than the right-hand side of the dot plot.
There is only one data element at the right-hand side

This means that the dot plot is right skewed

(b) Outlier

From the dot plot, we can see that 9 is relatively far from the other data elements.

This means that 9 is outlier

(c) Measure of center

In (b), we established that the dot plot has an outlier.

When there is an outlier, the best measure of center to use is the median.

Hence, the median will be used as the measure.