Question

pacman points 10a
in the classic video game pacman, you earn points in three different
ways each round:

• each dot that you eat (e) earns 10 points.
• each power pellet that you eat (p) earns 50 points.
• each ghost that you eat (g) earns 200 points.

a. using the variables e, p and g as described above, determine
an equation that will allow one to calculate how many points a
player earns in the game pacman.

b. while playing melody consumed 425 dots and 32 power pellets. in total she earned
7000 points, how many ghosts did she end up eating?

trapezoid 5a
all that the area of a triangle is given by the equation $a = \frac{bh}{2}$. if the area of the
n is $40\\ u^2$, determine the value of m.

Explanation:

Step1: Form total points equation

Let total points = \( T \). Then \( T = 10e + 50p + 200g \).

Step2: Calculate points from dots/pellets

Dots: \( 10×425 = 4250 \); Pellets: \( 50×32 = 1600 \); Sum: \( 4250 + 1600 = 5850 \).

Step3: Find ghost points

Ghost points: \( 7000 - 5850 = 1150 \).

Step4: Calculate number of ghosts

Ghosts: \( g = \frac{1150}{200} = 5.75 \). Since ghosts are whole, check: \( 5×200=1000 \), total \( 5850+1000=6850≠7000 \); \( 6×200=1200 \), total \( 5850+1200=7050≠7000 \). Wait—correction: Step3 sum is \( 4250+1600=5850 \), ghost points \( 7000-5850=1150 \)? No, 425×10=4250, 32×50=1600, total non-ghost: 5850. 7000-5850=1150, but 1150/200=5.75. But maybe typo? Wait no—wait 425×10=4250, 32×50=1600: 4250+1600=5850. 7000-5850=1150, which is not divisible by 200. But maybe I miscalculated: 32×50=1600 yes, 425×10=4250 yes. Alternatively, maybe total points is 7050? Then 7050-5850=1200→6. But as per problem, 7000: 1150/200=5.75, but ghosts are integers. Wait no—wait problem says "how many ghosts did she end up eating?" So maybe my equation is right, but calculation: let's re-express equation for B: \( 7000 = 10×425 +50×32 +200g \). So \( 7000 = 4250 +1600 +200g →7000=5850+200g→200g=1150→g=5.75 \). But since you can't eat 0.75 ghost, maybe problem has a typo, but mathematically, that's the result.

Answer:

A. \( T = 10e + 50p + 200g \)
B. 5.75 (Note: This is a non-integer, suggesting possible problem typo, but mathematically derived.)