Question

Alice spent $15 more than half as much as Mrs. Bai spent on her shopping trip. If they spent a total of $375, how much did each spend?

134

likes

671 views

Answer to a math question Alice spent $15 more than half as much as Mrs. Bai spent on her shopping trip. If they spent a total of $375, how much did each spend?

$Expert avatar$

Ali

4.4

92 Answers

1.A is the amount Alice spent, and B is the amount Mrs. Bai spent.

A = \frac{1}{2} B + 15

They spent a total of $375, so:

A + B = 375

2. Substitute A in the second equation:

\left(\frac{1}{2} B + 15\right) + B = 375

3. Simplify and solve for B:

\frac{1}{2} B + B + 15 = 375

\frac{3}{2} B + 15 = 375

\frac{3}{2} B = 375 - 15

\frac{3}{2} B = 360

B = \frac{360 \times 2}{3}

B = 240

4. Substitute B = 240$ back into the equation for A:

A = \frac{1}{2} (240) + 15

A = 120 + 15

A = 135

Alice spent $135 and Mrs.Bai spent $240

Frequently asked questions (FAQs)

What is the angle measure of an equilateral triangle?

What is the average score of a group of 50 students if the total sum of their scores is 2500?

What is the definition of an integral and its purpose in calculus?

New questions in Mathematics

find the value of the tangent if it is known that the cos@= 1 2 and the sine is negative. must perform procedures.

A normally distributed population has a mean of 118 with a standard deviation of 18. What score separates the lowest 72% of the distribution from the rest of the scores?

Revenue Maximization: A company sells products at a price of $50 per unit. The demand function is p = 100 - q, where p is the price and q is the quantity sold. How many units should they sell to maximize revenue?

3(4x-1)-2(x+3)=7(x-1)+2

Derivative of x squared

224 × (6÷8)

Desarrolla (2x)(3y + 2x)5

If you randomly selected one person from the 900 subjects in this study, what is the probability that the person exhibits the minimum BMI?

Clara usually walks briskly to the farmers' market and it takes her 22 minutes. Today she walked leisurely and it took 61/2 minutes. How much more time than usual did she take to reach the market today?

(24, -7) is on the terminal arm of an angle in standard position. Determine the exact values of the primary trigonometric functions.

Calculate the boiling temperature and freezing temperature at 1 atmosphere pressure of a solution formed by dissolving 123 grams of ferrous oxide in 1.890 grams of HCl.

In the telephone exchange of a certain university, calls come in at a rate of 5 every 2 minutes. Assuming a Poisson distribution, the average number of calls per second is: a) 1/8 b) 1/12 c) 1/10 d) 2/5 e) 1/24

Convert 9/13 to a percent

The function h(t)=-5t^2+20t+60 models the height in meters of a ball t seconds after it’s thrown . Which describe the intercepts and vertex of this function

Let f and g be defined in R and suppose that there exists M > 0 such that |f(x) − f(p)| ≤ M|g(x) − g(p)|, for all x. Prove that if g is continuous in p, then f will also be continuous in p.

Calculate the area of the parallelogram with adjacent vertices (1,4, −2), (−3,1,6) 𝑦 (1, −2,3)

On Tuesday Shanice bought five hats.On Wednesday half of all the hats that she had were destroyed.On Thursday there were only 17 left.How many Did she have on Monday.

Consider the function f(x)=1/2(x+1)^2-3. Use the preceding/following interval method to estimate the instantaneous rate of change at 𝑥 = 1.

if y=1/w^2 yw=2-x; find dy/dx

To paint a 250 m wall, a number of workers were employed. If the wall were 30 m longer, 9 more workers would be needed. How many were employed at the beginning?

Alice spent $15 more than half as much as Mrs. Bai spent on her shopping trip. If they spent a total of $375, how much did each spend?

Answer to a math question Alice spent $15 more than half as much as Mrs. Bai spent on her shopping trip. If they spent a total of $375, how much did each spend?

You might be interested in