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stepan [7]
3 years ago
9

At a football game, a vender sold a combined total of 152 sodas and hot dogs. The number of sodas sold was three times the numbe

r of hot dogs sold. Find the number of sodas and the number of hot dogs sold.
Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
7 0

Answer:

  • 38 hot dogs
  • 114 sodas

Step-by-step explanation:

Sometimes problems of this nature are easily worked by considering groups of items. Here, it is convenient to consider a group as 1 hot dog and 3 sodas, so the number of sodas in the group is 3 times the number of hotdogs in the group.

Each group is 4 items, so 152/4 = 38 groups were sold.

In the 38 groups, there were 38 hot dogs and 3×38 = 114 sodas.

114 sodas and 38 hot dogs were sold.

You might be interested in
Prove that the product of any three consecutive numbers is even.
mestny [16]

Answer:

The product of three consecutive numbers is essentially the product of an odd number and an even number.

The product of an odd number and an even number is always even.

Explanation:

Consecutive numbers follow a pattern - they alternate between odd and even. (Any number sequence goes: ... odd, even, odd, even, odd ...)

With three consecutive numbers, there are two combinations:

1. odd, even, odd

2. even, odd, even

Remember these rules:

The product of two odd numbers is always odd.

The product of two even numbers is always even.

***The product of an odd number and an even number is always even.

Simplify the equations of consecutive numbers with the rules.

odd X even X odd

= even X (odd)(odd)

= even X odd

= even

even X odd X even

= odd X (even)(even)

= odd X even

= even

***Why this rule works:

In any multiplication statement, the multiplication sign means "groups of".

For example, 5 times 3 = 5 groups of 3.

An even number means, like if a number was represented by number of people, everyone would have a partner.

odd X even means "odd# groups of even # people".

Within each group, everyone already has a partner. It does not matter how many groups there are.  Therefore it's an even number.

even X odd means "even# groups of odd # people".

In this model, there is a leftover person in each of the groups. These people find a partner from another group. Since there are an even number of groups, there is an even number of leftover people. Then they all find a partner. Therefore it's an even number.

4 0
4 years ago
Hannah has 127 books in her collection. Her school is hosting a book donation. There are z students at her school, and they each
erastova [34]
Then answer would be 300÷127=Z
7 0
4 years ago
Read 2 more answers
2x+5y=-55 y=3x+6 What is the solution
Arlecino [84]
Let: eq 1:2x+5y=-55
eq 2:y=3x+6
by substituting eq 2 in eq 1 we get,
2x+5(3x+6)=-55
2x+15x+30+55=0
17x + 85=0
x=-85/17
x=-5
By substituting x value in eq 2,
we have,
y=3(-5)+6=-15+6=-9
3 0
3 years ago
Read 2 more answers
The playground of a school has areas fixed for various activities. One-fifth of the playground is used for students to sit and r
sertanlavr [38]

Answer:

2/3* 4/5 = 8/15

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  Please have a look at the attached file below.

Given:

  • One-fifth (1/5)  of the playground is used for students to sit and read
  • 2/3 is used for playing soccer
  • The rest of the playground is used for playing basketball

So assume that the the playground is divided into 5 equal part

=> 1 part is used for students to sit and read or (1/5)

=>  the remaining equal part is 4  or (4/5)

Because 2/3 of the remaining part is used for playing soccer

=> the equation represents the part of the playground used for soccer is:

2/3 of 4/5

= 2/3* 4/5

= 8/15

8 0
3 years ago
Addie bought 9 candy bars and ate 1/2 of them. Frankie bought 6 candy bars and ate 2/3 of them
elena-s [515]

Answer:

addie at 4.5 candie bars and frankie had 4

6 0
2 years ago
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