I don't know how to solve this, solving systems of linear equations:

The Frosty Ice Cream shop sells sundaes for $2 and banana splits for $3. On a hot summer day, the shop sold 8 more sundaes than banana splits and made $156. How many bananas did they use if there is 1/2 a banana on each banana split?

Question

Romeo Harmon

Mathematics

24 December, 02:49

I don't know how to solve this, solving systems of linear equations:

The Frosty Ice Cream shop sells sundaes for $2 and banana splits for $3. On a hot summer day, the shop sold 8 more sundaes than banana splits and made $156. How many bananas did they use if there is 1/2 a banana on each banana split?

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Answers (1)

Know the Answer?

Nasir Hebert · Answer 1

S=sundae number

b=bananasplit number

8 mroe sundaes thatn banana splits

s=8+b

and made 156

2s+3b=156

solve

sub 8+b for s

2 (8+b) + 3b=156

16+2b+3b=156

16+5b=156

minus 16 both sides

5b=140

divide both sides by 5

b=28

28 banana splits

1/2 on each

28 times 1/2=14

14 bananas