<p>can you help me solve this problem?</p>
<p>so these are the facts:
at a party....
for every 3 people there is one pizza
for every 6 people there is one salad
for every 8 people there is one cake</p>
<p>if the total number of pizzas, salads, and cakes was n, then in terms of n how many people are at the party?</p>
<p>A 8/5(n)
B 3/2(n)
C 7/4(n)
D 2n
E 9/4(n)</p>
<p>correct answer is A...... but why</p>
<p>n = (1/3)p + (1/6)p + (1/8)p
n = (5/8)p
p = (8/5)n</p>
<p>im sorry but that doesnt help… isnt it 1/3 pizza=1person etc…?</p>
<p>Pick a number of people that has factors of 3, 6, and 8. The lowest is 24, so lets use that.</p>
<p>So from this we can find how many pizzas, salads, and cakes there were.</p>
<p>If there were 24 people, there were 8 pizzas, 4 salads, and 3 cakes. Add these together and we obtain 15.</p>
<p>Now divide the people by the total number and you will find the ratio (24/15) which gives 8/5. To check, multiply 8/5 by n (sum of the food) and you will obtain 24.</p>
<p>okay haha yeah i get it now thanks guys!</p>
<p>hey so i have another math question…
its this one.
integers x and y are positive; x is divisible by 2 and y is divisible by 5. If (x/y)=7/9 and x+y< 500 what is one possible value of x+y?</p>
<p>the possible values are 160, 320 and 480…</p>
<p>x/y=7/9</p>
<p>so x and y could be 7 and 9, or 14 and 18, or 28 and 36, etc.
you have to find a pair where x is divisible by 2 (numerator) and y is divisible by 5 (denominator) </p>
<p>if you multiply a number by 2, it will be divisible by 2 because you can divide it back by 2.</p>
<p>but for the fraction 7/9 to remain unchanged in value, you have to multiply the top and the bottom by the same number, so you can’t just multiply the top by 2 and the bottom by 5.</p>
<p>you have to find a number that is divisible by both 2 and 5, and use THAT number to multiply</p>
<p>simply multiply 2 and 5 together to get 10. if you multiply any number by 10 it will be divisible by 2 or 5</p>
<p>7/9 —> 70/90
70+90=160</p>